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VERSION:2.0
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BEGIN:VEVENT
SUMMARY:Conformal symmetry and supergravity
DTSTART;VALUE=DATE-TIME:20170425T073000Z
DTEND;VALUE=DATE-TIME:20170425T081500Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2372@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Antoine Van Proeyen (KU Leuven)\nConformal symmetry
is the maximal spacetime symmetry. Supergravity plays an important role i
n the developments of quantum theories including gravity\, as in superstri
ng theory. Considering supergravity as a broken superconformal theory lea
d to many insights in the structure of supergravity. We review these devel
opments and report on recent investigations on constrained multiplets\, th
e Einstein equation and conserved currents in a supergravity theory from t
he conformal point of view.\n\nhttps://indico.mitp.uni-mainz.de/event/78/c
ontributions/2372/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2372/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rigidity of 2-step Carnot algebras
DTSTART;VALUE=DATE-TIME:20170426T090500Z
DTEND;VALUE=DATE-TIME:20170426T095000Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2373@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Boris Kruglikov (University of Tromsø)\nWe study th
e rigidity of 2-step Carnot groups\, or equivalently\, of graded 2-step ni
lpotent Lie algebras. We prove the alternative that depending on bi-dimens
ions of the algebra\, the Lie algebra structure makes it either always of
infinite type or generically rigid\, and we specify the bi-dimensions for
each of the choices. Explicit criteria for rigidity of pseudo $H$- and $J$
-type algebras are given. In particular\, we establish the relation of the
so-called $J^2$-condition to rigidity\, and we explore these conditions i
n relation to pseudo $H$-type algebras. Based on work [(arXiv:1603.00373
[math.RT])][1] with Mauricio Godoy-Molina\, Irina Markina and Alexander Va
sil'ev.\n\n\n [1]: https://arxiv.org/abs/1603.00373\n\nhttps://indico.mit
p.uni-mainz.de/event/78/contributions/2373/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2373/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hidden symmetries of black holes in maximal supergravities
DTSTART;VALUE=DATE-TIME:20170425T081500Z
DTEND;VALUE=DATE-TIME:20170425T084500Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2374@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: David Chow (Max Planck Institute for Gravitational P
hysics)\nHidden symmetries corresponding to Killing tensors are a notable
feature of known rotating black hole solutions in supergravity. I will di
scuss the presence of these symmetries in general\, non-extremal black hol
es of maximal supergravities in diverse dimensions\, their relation to com
muting symmetry operators\, and other physical consequences.\n\nhttps://in
dico.mitp.uni-mainz.de/event/78/contributions/2374/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2374/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Killing superalgebras and high supersymmetry
DTSTART;VALUE=DATE-TIME:20170424T094500Z
DTEND;VALUE=DATE-TIME:20170424T101500Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2375@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Andrea Santi (University of Bologna)\nI will talk ab
out joint work with José Figueroa-O'Farrill on the algebraic\nstructure o
f the Lie superalgebra generated by the Killing spinors of an 11-dimension
al supergravity background. I will explain that any such Killing superalge
bra can be regarded as an appropriate deformation of a subalgebra of the P
oincaré superalgebra and discuss applications to the classification of hi
ghly supersymmetric backgrounds. In particular\, we will see that preservi
ng more than half the supersymmetry implies the supergravity field equatio
ns. If time permits\, I will also mention ongoing work on the existence of
half-BPS backgrounds whose Killing superalgebras are deformations of the
Killing superalgebra of the elementary M2-brane.\n\nhttps://indico.mitp.un
i-mainz.de/event/78/contributions/2375/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2375/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Completeness in Projective Special Geometry
DTSTART;VALUE=DATE-TIME:20170424T143000Z
DTEND;VALUE=DATE-TIME:20170424T150000Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2376@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Stefan Suhr (Department of Mathematics\, University
of Hamburg)\nOne way to construct quaternionic Kähler manifolds (target s
paces for sigma\nmodels in $N=2$ supersymmetric theories of gravity) is vi
a the supergravity c-map\n(Ferrara-Sabharwal'90) from projective special K
ähler manifolds and its combination\nwith the supergravity r-map (deWit-V
an Proeyen'92) from projective special real manifolds.\n\nAfter briefly in
troducing the structures involved I will discuss conditions for the geodes
ic\ncompleteness of projective special real and projective special Kähler
manifolds.\nIt is known that geodesic completeness is preserved under bot
h the r-map and\nthe c-map (Cortés-Han-Mohaupt'12).\n\nI will argue that
projective special Kähler manifolds are complete if the condition of "reg
ular boundary behavior" is satisfied (Cortés-Dyckmanns-Suhr'17). Projecti
ve real manifolds will be\nshown to be complete if they are closed as hype
rsurfaces in Euclidian space (Cortés-Nardmann-Suhr).\n\nhttps://indico.mi
tp.uni-mainz.de/event/78/contributions/2376/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2376/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Homogeneous solutions of decomposable 11D supergravity
DTSTART;VALUE=DATE-TIME:20170427T090500Z
DTEND;VALUE=DATE-TIME:20170427T095000Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2377@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Dmitri Alekseevsky (Moscow)\nWe will describe a clas
s of solutions of 11 dimensional supergravity\n(M\, g_M\, F) under the ass
umption that the Lorentz manifold (M\, g_M) is a direct product of a p-dim
ensional Lorentz manifold (M\, g) and q = 11 − p - dimensional Riemann m
anifold (M ̄\,g ̄). We made also some assumption about the structure of
the 4-form F and write down and analyze the equa- tions of 11d supergravit
y in this case under assumption that the manifold (M\,g_M\,F) is homogeneo
us. In the case p = 4\, we describe all such homo- geneous solutions of 11
d decomposable supergravity under assumption that the 4-form is a direct s
um of the volume form of a homogeneous Lorentz manifold (M\,g) and an inva
riant 4-form of a compact homogeneous Riemannian manifold (M ̄ \, g ̄).\
nThis is a joint work with I. Crysikos and A. Taghavi-Chabert.\n\nhttps://
indico.mitp.uni-mainz.de/event/78/contributions/2377/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2377/
END:VEVENT
BEGIN:VEVENT
SUMMARY:New AdS/CFT pairs from non-Abelian T-duality
DTSTART;VALUE=DATE-TIME:20170425T134500Z
DTEND;VALUE=DATE-TIME:20170425T143000Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2378@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Yolanda Lozano (University of Oviedo)\nI will discus
s recent applications of non-Abelian T-duality in the context of Holograph
y. I will discuss the usefulness of the method as a solution generating te
chnique of AdS solutions as well as its interpretation at the level of the
CFTs dual to the newly generated backgrounds.\n\nhttps://indico.mitp.uni-
mainz.de/event/78/contributions/2378/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2378/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Special holonomy groups in supergeometry
DTSTART;VALUE=DATE-TIME:20170428T090500Z
DTEND;VALUE=DATE-TIME:20170428T093500Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2379@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Anton Galaev (University of Hradec Králové)\nI wil
l review my previous results about holonomy groups of superconnections on
supermanifolds and will mention the joint work in progress with Andrea San
ti about construction of superconnections with some classes of special hol
onomy groups.\n\nhttps://indico.mitp.uni-mainz.de/event/78/contributions/2
379/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2379/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Progress on supersymmetric solutions of gauged supergravities
DTSTART;VALUE=DATE-TIME:20170424T084000Z
DTEND;VALUE=DATE-TIME:20170424T092500Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2380@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Tomas Ortin (IFT-UAM/CSIC)\nThe construction of supe
rsymmetric solutions of gauged supergravities in N=2\, d=4 and 5 dimension
s is a very complicated\, highly non-linear problem both in the Abelian an
d non-Abelian cases. In the N=2\,d=5 Abelian case we have recently propose
d a new Ansatz for the Kaehler base space that simplifies the problem and
establishes a connection with the N=2\,d=4 case\, for cubic models [arXiv:
1611.09383]. In the non-Abelian case we have characterized all the timelik
e supersymmetric solutions (arXiv:0806.1477\, arXiv:1512.07131) and we hav
e constructed\, analytically\, (multi) black-hole\, black-ring and black-s
tring solutions and also globally-regular monopoles and instanton solution
s with non-trivial SU(2) fields. The fact that they are given in a fully
analytic solution (unlike all the previous non-Abelian solutions known so
far) allows us to study them in detail. We find that they exhibit glaring
violations of the no-hair conjecture. We embed some of these solutions in
10-dimensional Heterotic string theory to identify their elementary brane
constituents and compute their entropy (when there is a horizon) from a mi
croscopic point of view.\nA very important role in our constructions is pl
ayed by the relation found by Kronheimer between monopoles in $R^3$ and i
nstantons in 4-dimensional hyper-Kaehler spaces admitting the action of a
U(1) group. We use it to construct multi-dyonic instanton solutions. We a
lso find that singular monopoles\, usually discarded\, can be used in blac
k-hole solutions since the singularities are covered or smoothed by the no
n-trivial geometry.\n\nhttps://indico.mitp.uni-mainz.de/event/78/contribut
ions/2380/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2380/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Non-linear anti-involutive symmetries of black hole entropy
DTSTART;VALUE=DATE-TIME:20170428T081500Z
DTEND;VALUE=DATE-TIME:20170428T084500Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2381@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Alessio Marrani ("Enrico Fermi" Center\, IT)\nFreude
nthal duality can be defined as an anti-involutive\, non-linear map acting
on symplectic spaces.\nAfter a general introduction on some aspects of ex
tended (super)gravity theories in four dimensions and the structure of the
ir U-orbits\, I will consider their U-duality Lie groups "of type E7"\, an
d the corresponding notion of Freudenthal duality.\nI will elucidate and c
omment on the relation between the Hessian of the black hole entropy and t
he pseudo-Riemannian\, rigid\, para-special Kaehler metric of the pre-homo
geneous vector spaces associated to the U-orbits.\nI will conclude with re
cent developments\, including the extension to Abelian gaugings of supergr
avity (also in presence of hypermultiplets).\n\nhttps://indico.mitp.uni-ma
inz.de/event/78/contributions/2381/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2381/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Gravity duals to 6d (1\,0) SCFTs on punctured Riemann surfaces
DTSTART;VALUE=DATE-TIME:20170427T081500Z
DTEND;VALUE=DATE-TIME:20170427T084500Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2382@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Achilleas Passias (Uppsala University)\nWe present A
dS(5) solutions of type IIA supergravity\, holographically \ndual to compa
ctifications of six-dimensional (1\,0) superconformal field \ntheories on
Riemann surfaces with punctures. The solutions have O8-plane\, \nD4\, D6 a
nd D8-brane sources. The D4-branes are smeared over a Riemann \nsurface\,
and are interpreted as a large number of punctures.\n\nhttps://indico.mit
p.uni-mainz.de/event/78/contributions/2382/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2382/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The ASK/PSK-correspondence and the r-map
DTSTART;VALUE=DATE-TIME:20170426T081500Z
DTEND;VALUE=DATE-TIME:20170426T084500Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2383@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Peter-Simon Dieterich (Universität Hamburg)\nWe for
mulate a correspondence between affine and projective special Kähler mani
folds of the same dimension. As an application\, we show that\, under this
correspondence\, the affine special Kähler manifolds in the image of the
rigid r-map are mapped to one-parameter deformations of projective specia
l Kähler manifolds in the image of the supergravity r-map. The above one-
parameter deformations are interpreted as perturbative $\\alpha'$-correcti
ons in heterotic and type-II string compactifications with $N=2$ supersymm
etry. We show that the completeness of the deformed supergravity r-map met
ric depends solely on the (well-understood) completeness of the undeformed
metric and the sign of the deformation parameter.\n\nhttps://indico.mitp.
uni-mainz.de/event/78/contributions/2383/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2383/
END:VEVENT
BEGIN:VEVENT
SUMMARY:New Developments in Heterotic Moduli
DTSTART;VALUE=DATE-TIME:20170428T073000Z
DTEND;VALUE=DATE-TIME:20170428T081500Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2384@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Eirik Eik Svanes (LPTHE)\nI will begin by reviewing
some recent developments in the heterotic moduli problem\, both for six an
d seven dimensional compactifications to SU(3) and G2 structure manifolds
respectively. After a brief overview of the infinitesimal (massless) modul
i of six dimensional compactifications\, I turn to the corresponding seven
dimensional story. There are many similarities between the two situations
\, but also crucial differences that I will expand upon. Finally\, I will
report on some recent progress in understanding the finite deformations of
six dimensional heterotic compactifications. We will see that the Maurer-
Cartan equation of the corresponding differentially graded Lie algebra can
be understood as the equation of motion of an effective theory derived fr
om the heterotic superpotential. This effective theory has features which
combine and generalise aspects of both Holomorphic Chern-Simons and Kodair
a-Spencer theory.\n\nhttps://indico.mitp.uni-mainz.de/event/78/contributio
ns/2384/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2384/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Quaternionic Heisenberg group and Heterotic String Solutions with
non-constant dilaton in dimensions 7 and 5
DTSTART;VALUE=DATE-TIME:20170424T134500Z
DTEND;VALUE=DATE-TIME:20170424T143000Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2385@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Stefan Ivanov (Sofia University)\nSmooth solutions o
f the Strominger system with non vanishing flux\, non-trivial instanton\na
nd non-constant dilaton based on the quaternionic Heisenberg group are con
structed. It is shown that through appropriate contractions\nthe solution
s found in the $G_2$-heterotic case converge to the heterotic solutions on
6-dimensional inner non-K\\"ahler\nspaces previously found and\, moreove
r\, to new heterotic solutions with non-constant dilaton in dimension 5.\n
All the solutions satisfy the heterotic equations of motion up to the firs
t order of \\alpha^{\\prime}.\n\nhttps://indico.mitp.uni-mainz.de/event/78
/contributions/2385/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2385/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Left-invariant Einstein metrics on $S^3 \\times S^3$
DTSTART;VALUE=DATE-TIME:20170426T134500Z
DTEND;VALUE=DATE-TIME:20170426T143000Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2386@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Alexander Haupt (University of Hamburg)\nThe classif
ication of homogeneous compact Einstein manifolds in dimension six is an o
pen problem. \nWe consider the remaining open case\, namely left-invariant
Einstein metrics $g$ on $G = \\mathrm{SU}(2) \\times \\mathrm{SU}(2) = S^
3 \\times S^3$. \nEinstein metrics are critical points of the total scalar
curvature functional for fixed volume.\nThe scalar curvature $S$ of a lef
t-invariant metric $g$ is constant and can be expressed as a rational func
tion in the parameters determining the metric.\nThe critical points of $S$
\, subject to the volume constraint\, are given by the zero locus of a sys
tem of polynomials in the parameters.\nIn general\, however\, the determin
ation of the zero locus is out of reach with current technology. Instead\,
we consider the case where $g$ is\, in addition to being left-invariant\,
assumed to be invariant under a non-trivial finite group $\\Gamma$ of iso
metries.\nWhen $\\Gamma\\not\\cong \\mathbb{Z}_2$ we prove that the Einste
in metrics on $G$ are given by (up to homothety) either the standard metri
c or the nearly K\\"ahler metric\, based on representation-theoretic argum
ents and computer algebra.\nFor the remaining case $\\Gamma\\cong \\mathbb
{Z}_2$ we present partial results.\n\nhttps://indico.mitp.uni-mainz.de/eve
nt/78/contributions/2386/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2386/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Killing spinor identities\, spinorial geometry and off-shell super
gravities
DTSTART;VALUE=DATE-TIME:20170427T140000Z
DTEND;VALUE=DATE-TIME:20170427T143000Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2387@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Peter Sloane (Mesoamerican Centre for Theoretical Ph
ysics\, Universidad Autonoma de Chiapas\, Mexico)\nKilling spinor identiti
es relate (components of) the equations of motion of supergravity theories
for supersymmetric solutions to one another\, and tell us which of them a
re automatic for a given supergravity background. In the context of off-sh
ell supergravities they are valid for any possible Lagrangian with the sam
e matter content\, including higher derivative and string theory corrected
theories. Using spinorial geometry techniques we discuss in detail the ex
ample of the supersymmetric solutions of $\\mathcal{N}=2\, d=5$ supergravi
ty with Weyl tensor squared and Ricci scalar squared corrections in a cons
istent truncation which is sufficient to capture the corrections at first
order in the ungauged theory\, and comment briefly on the general untrunac
ted case\, focusing on the maximally supersymmetric solutions.\n\nhttps://
indico.mitp.uni-mainz.de/event/78/contributions/2387/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2387/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Six-dimensional conformal theories and nilpotent orbits
DTSTART;VALUE=DATE-TIME:20170427T073000Z
DTEND;VALUE=DATE-TIME:20170427T081500Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2388@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Alessandro Tomasiello (Università di Milano-Bicocca
)\nI will discuss a class of CFTs obtained by Higgsing the (2\,0) ADE theo
ry by a pair of nilpotent elements in the ADE group. In the A and D case\,
the nilpotent elements are labeled by Young diagrams\, and the holographi
c dual is known explicitly in IIA supergravity. In the E case and in some
D cases\, only an F-theory description is available\, using sevenbranes wi
th a pole for the Higgs field. The effect of these "T-branes" is conjectur
al\, but it passes several numerical tests.\nCompactifying to four dimensi
ons should produce new "massive class S" theories\; for some easy cases\,
the AdS5 duals are now emerging\, even in presence of punctures.\n\nhttps:
//indico.mitp.uni-mainz.de/event/78/contributions/2388/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2388/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Tamed symplectic vector bundles for four-dimensional Supergravity
DTSTART;VALUE=DATE-TIME:20170427T143000Z
DTEND;VALUE=DATE-TIME:20170427T150000Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2389@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Carlos Shahbazi (Institut für Theoretische Physik\,
Leibniz Universität Hannover)\nI will introduce a system of partial diff
erential equations on a four-manifold M involving a Lorentzian metric coup
led to a section of a Lorentzian submersion as well as to a positively-pol
arized two-form taking values on a tamed flat symplectic vector bundle. I
will give a set of sufficient conditions for this system to reduce\, when
restricted to a contractible open set of M\, to the standard local formula
s used by physicists in the context of four-dimensional ungauged Supergrav
ity\, obtaining thus a mathematically rigorous and globally non-trivial fo
rmulation of the latter. We call the resulting theory a "Generalized Einst
ein-Section-Maxwell theory"\, or GESM for short. GESM provides a non-trivi
al extension of standard ungauged supergravity\, and its supersymmetrizati
on is expected to yield new Supergravity theories that escape the standard
local classification of these theories. Furthermore\, I will consider the
global automorphism group of a generic GESM theory\, giving then a preci
se definition and characterization of the global U-duality group of the th
eory. I will also discuss Dirac quantization\, which is implemented in ter
ms of a "Dirac system"\, namely a particular type smooth fiber subbundle o
f full integral lattices of the symplectic vector bundle of the theory. I
will show that generic solutions of GESM theories correspond to the superg
ravity limit of four-dimensional locally geometric String Theory U-folds\,
providing some constrains on their global geometry and topology which fol
low from the global structure of GESM. Finally\, I will comment on various
open mathematical problems regarding the GESM system of partial different
ial equations and its moduli space of solutions on a globally hyperbolic L
orentzian four-manifolds. This is based on recent and ongoing work with Ca
lin Lazaroiu.\n\nhttps://indico.mitp.uni-mainz.de/event/78/contributions/2
389/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2389/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Compact pseudo-Riemannian homogeneous Einstein manifolds of low di
mension
DTSTART;VALUE=DATE-TIME:20170426T143000Z
DTEND;VALUE=DATE-TIME:20170426T150000Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2390@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Wolfgang Globke (University of Adelaide)\nLet $M$ be
pseudo-Riemannian homogeneous Einstein manifold of\nfinite volume\, and s
uppose a connected Lie group $G$ acts\ntransitively and isometrically on $
M$.\n\nWe study such spaces $M$ in three important cases.\nFirst\, we assu
me $\\langle\\cdot\,\\cdot\\rangle $ is invariant\, in which\ncase the Ein
stein property requires that $G$ is either solvable\nor semisimple.\n\nNex
t\, we investigate the case where $G$ is solvable. Here\,\n$M$ is compact
and $M=G/\\Gamma$ for a lattice $\\Gamma$ in $G$.\nWe show that in dimensi
ons less or equal to $7$\,\ncompact quotients $M=G/\\Gamma$\nexist only fo
r nilpotent groups $G$.\nWe conjecture that this is true for any dimension
.\nIn fact\, this holds if Schanuel's Conjecture on transcendental\nnumber
s is true.\n\nFinally\, we consider semisimple Lie groups $G$\,\nand find
that $M$ splits as a pseudo-Riemannian product of Einstein\nquotients for
the compact and the non-compact factors of $G$.\n\nThis is joint work with
Yuri Nikolayevsky (La Trobe University).\n\nhttps://indico.mitp.uni-mainz
.de/event/78/contributions/2390/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2390/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Dynamical symmetry enhancement near black hole horizons
DTSTART;VALUE=DATE-TIME:20170426T073000Z
DTEND;VALUE=DATE-TIME:20170426T081500Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2391@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Ulf Gran (Chalmers University of Technology)\nIn thi
s talk I will sketch a general proof of the (super)symmetry enhancement oc
curring near black hole horizons\, a phenomenon previously observed only o
n a case by case basis. I will also show that the symmetry algebra for all
supersymmetric black hole horizons with non-trivial fluxes includes an sl
(2\,R) subalgebra.\n\nhttps://indico.mitp.uni-mainz.de/event/78/contributi
ons/2391/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2391/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A Riemann-Hilbert approach to attractor geometries and extremal bl
ack holes.
DTSTART;VALUE=DATE-TIME:20170425T090500Z
DTEND;VALUE=DATE-TIME:20170425T095000Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2392@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Thomas Mohaupt (Department of Mathematical Sciences\
, University of Liverpool)\nWe review in which sense the stationary-axisym
metric sector of four- and five-dimensional gravity is integrable\, and ho
w the non-linear equations of motion can be viewed as the integrability co
nditions of a linear system. Solving this linear system can in turn be for
mulated as a matrix Riemann-Hilbert factorisation problem. While this has
been known (at least) since the seminal work of Breitenlohner and Maison i
n the late 1980's\, explicit solutions of Riemann-Hilbert problems are har
d to obtain\, and have so far been restricted to cases where the space-tim
e is asymptotically flat\, and where the monodromy matrix has first order
poles in the spectral parameter. We present an efficient method for obtain
ing explicit matrix factorisations which avoids these assumptions\, and sh
ow that the factorisation of monodromy matrices with second order poles le
ads to attractor geometries (near horizon geometries of extremal black hol
es) and extremal black hole solutions. Examples include both over-rotating
and under-rotating extremal black holes and their near-horizon geometries
. We also study the action of the Geroch group on monodromy matrices and o
n solutions of the linear system. Group elements which realise Harrison-ty
pe transformations relate attractor geometries to the corresponding extrem
al black hole solutions. A family of consistent non-trivial deformations o
f the monodromy matrix is shown to correspond to a family of Geroch group
elements depending explicitly on the spectral parameter.\n\nhttps://indico
.mitp.uni-mainz.de/event/78/contributions/2392/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2392/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Geometry of BPS vortex-antivortex moduli spaces
DTSTART;VALUE=DATE-TIME:20170427T133000Z
DTEND;VALUE=DATE-TIME:20170427T140000Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2393@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Nuno Romao (Universität Augsburg)\nGauged nonlinear
sigma-models on Riemannian surfaces are self-dual field theories which ad
mit supersymmetric extensions. In contrast with the more familiar gauged *
linear* sigma-models\, their classical vacua accommodate several types of
BPS solitonic particles\, described by vortex moduli spaces (supporting K
ähler metrics) to which path integrals localise. This leads to some intri
cate phenomena -- in particular\, the moduli spaces typically acquire a bo
undary corresponding to coalescence of particles of distinct types. In my
talk\, I will discuss geometric aspects of vortex moduli that relate to th
e presence of such a boundary\, focusing on the simplest model of this sor
t.\n\n(This is joint work with Martin Speight.)\n\nhttps://indico.mitp.uni
-mainz.de/event/78/contributions/2393/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2393/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Duality and the Generalised Geometry of (2\,1) Sigma Models in Su
perspace
DTSTART;VALUE=DATE-TIME:20170425T143000Z
DTEND;VALUE=DATE-TIME:20170425T150000Z
DTSTAMP;VALUE=DATE-TIME:20211127T114925Z
UID:indico-contribution-78-2394@indico.mitp.uni-mainz.de
DESCRIPTION:Speakers: Mohab Abou Zeid (Georg-August-Universität Göttinge
n)\nThe geometry\, isometry symmetries and superspace formulation of two-d
imensional non-linear sigma models with manifest (2\,1) supersymmetry is
revisited. Following Rocek and Verlinde\, we then dualise the models by ga
uging the isometries using suitable (2\,1) gauge multiplets and introducin
g Lagrange multiplier superfields that constrain the field strengths of th
e gauge multiplets to vanish. Integrating out the Lagrange multipliers lea
ds to the original action\, whereas integrating out the vector multiplets
yields the dual action. The geometry of the dual model is defined implcitl
y in terms of the appropriate vector superfield potentials. Superspace re
ductions and the relation to the usual Buscher rules are investigated.\n\n
https://indico.mitp.uni-mainz.de/event/78/contributions/2394/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/78/contributions/2394/
END:VEVENT
END:VCALENDAR