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Geometric actions in gravity

• Glenn Barnich

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Asymptotic structure of gravity with Ehlers symmetry

• Sucheta Majumdar

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Higher-spins from higher dualisations

• Nicolas Boulanger

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Brane wrapping in AKSZ topological field theories

• David Tennyson

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Quest for Background Independence

• Ivo Sachs

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Higher-derivative corrections and duality invariance

• Camille Eloy

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Double Field Theory as the Double Copy of Yang-Mills Theory

• Olaf Hohm

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Supergravity and Supergeometry

• Pietro Grassi

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Presymplectic gauge PDEs and Lagrangian BV formalism beyond jet-bundles

• Maxim Grigoriev

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Consistent Truncations and Dualities

• Falk Hassler

Room: 02.430 A major application of extended geometries in supergravity is the construction of consistent truncations. Remarkably, all this construction's ingredients also appear in the context of generalised T- and U-dualities. After a quick review of both concepts, I will discuss a conjectured correspondence between consistent truncations and generalised dualities in string and M-theory. We will prove that all known generalised dualities give rise to consistent truncations. Moreover, we will see evidence that after incorporating higher derivative correction, all consistent truncations might be based on generalised dualities.

registration Room: 02.430

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Spinors and geometric structures

• Kirill Krasnov

Room: 02.430 My aim will be to explain some relatively well-known (and then less-known) geometric constructions linking structures of the type appearing in double field theory to spinors. The well-known example is that of a split signature metric on a vector space together with a choice of a maximal totally null subspace as encoded by a real pure spinor. But I will also describe less-known examples when the metric together with (a unit) spinor is encoded by a collection of certain differential forms. I will describe how going up in dimension necessitates considering impure spinors, and how these bring with themselves even more interesting geometry. My plan is to end with an example in 14 dimensions, with a split signature metric, where a generic real spinor can be shown to encode the second (dynamical) metric of double field theory. I hope to be able to make this talk interesting to anyone familiar with generalised geometry and/or double field theory.

Coffee break Room: 02.430

On the backgrounds of spinning particles

• Eugenia Boffo

Room: 02.430 Spinning particles are models for point particles with spin degrees of freedom. They automatically feature N-supersymmetry on the worldline, with fixed albeit arbitrary N. After first quantization one obtains spin-N/2 states in the Hilbert space. Consistency conditions for second quantization, realized in the form of BRST quantization, can severely restrict the background fields in target space, putting them on-shell. In the N=2 case the target space can host a Yang-Mills gauge theory, while in N=4 it is possible to have Einstein's gravity and the NS-NS sector of Supergravity. After explaining these passages, I will present new results involving the Ramond-Ramond fluxes (based on arXiv:2206.03243 with I. Sachs). I wish to conclude this analysis with some brief comments on almost complex structures (on-going work with O. Hulik and I. Sachs).

Reception: drinks and snacks at the institute Room: 02.430

Conformal (higher spin) gravity and Deformation quantization

• Evgeny Skvortsov

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Post-Newtonian Test of Double Field Theory

• Jeong-Hyuck Park

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From Lie algebra crossed modules to tensor hierarchies, and beyond

• Sylvain Lavau

Room: 02.430 Gauging procedures in supergravity theories depart from classical gauge theories as in the former, the gauge fields take values in the fundamental representation V of the Lie algebra g of global symmetries of the system. The consistency of the theory relies on a pairing V-->g called the embedding tensor, turning V into a Leibniz algebra. As is usually met in higher gauge theories, if the gauge algebra is not Lie, it is replaced by some higher form of Lie algebras. Here, such a higher structure is materialized by a differential graded Lie algebra on a chain complex of g-modules, called the tensor hierarchy. In the present talk we explain how tensor hierarchies are genetically related to Lie algebra crossed modules. Indeed, two such algebras V and g, together with their embedding tensor, form a triple called a Lie-Leibniz triple, of which Lie algebra crossed modules are particular cases. The canonical assignment (functor) associating to any Lie algebra crossed module its corresponding unique 2-term differential graded Lie algebra can be extended to the category of Lie-Leibniz triples, giving their associated tensor hierarchies. This shows that Lie-Leibniz triples form natural generalizations of Lie algebra crossed modules and that their associated tensor hierarchies can be considered as some kind of 'lie-ization' of the former. The "oidization" of such Lie-Leibniz triples then conjecturally opens the possibility to define the tensor hierarchies associated to Courant algebroids and G-algebroids.

Carrollian and Galilean conformal spin-3 theories in 3d

• Iva Lovrekovic

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D=2 supergravity and affine exceptional field theory

• Franz Ciceri

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2d gauged supergravity and consistent truncations

• Gianluca Inverso

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The most complicated way of writing D=11 supergravity

• Axel Kleinschmidt

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Arborescent Koszul-Tate resolutions and BFV for singular coisotropic reductions

• Thomas Strobl

Room: 02.430 Let $I$ be an ideal in some commutative (associative) algebra $O$. Starting from resolution of $O/I$ as an $O$-module, we construct a Koszul-Tate resolution for this quotient, i.e.\ a graded symmetric algebra over $O$ with a differential which provides simultaneously a resolution as an $O$-module. This algebra resolution has a beautiful structure of a forest of decorated trees and is related to an $A_\infty$ algebra on the original module resolution. Considering $O$ to be a Poisson algebra and $I$ a finitely generated Poisson subalgebra, we use the above construction to obtain the corresponding BFV formulation. Its cohomology at degree zero is proven to coincide with the reduced Poisson algebra $N(I)/I$, where $N(I)$ is the normaliser of $I$ inside $O$, thus generalising ordinary coisotropic reduction to the singular setting. As an illustration we use the example where $O$ consists of functions on $T^*(\R^3)$ and $I$ is the ideal generated by angular momenta. This is joint work with Aliaksandr Hancharuk and, in part, with Camille Laurent-Gengoux.

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Extended geometry and restricted associativity

• Jakob Palmqvist

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Algebraic structures in the pure spinor superfield formalism

• Ingmar Saberi

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A new consistent limit of 11D supergravity

• Eric Bergshoeff

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Systematics of consistent truncations

• Michela Petrini

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Branes and kappa symmetry: a supergeometric insight

• Carlo Alberto Cremonini

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Counting moduli of flux backgrounds

• Daniel Waldram

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Quantum space-time, torsion and gravity from quantum effects in the IIB matrix model

• Harold Steinacker

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Gauge theory, higher structures and compatibility conditions

• Athanasios Chatzistavrakidis

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G-algebroids, embedding tensors, and Poisson–Lie duality

• Fridrich Valach

Room: 02.430 I will describe a class of structures, known as G-algebroids, which arises as a natural generalisation of the ordinary, generalised, and exceptional tangent bundles from ordinary, generalised, and exceptional geometry, respectively. I will discuss a classification result in the exceptional case and show how to obtain the possible fluxes/twists of the bracket. In the M-theory and IIB setups, the twists organise themselves naturally into connections and covariantly constant differential forms, while in the IIA case one in particular recovers both the Romans mass and the deformation of Howe–Lambert–West. Finally, I will show how to use these algebroids to answer a question about the realisability of embedding tensors (providing a new perspective on the result of Inverso '17) and to give a joint description of the Poisson–Lie T- and U-duality. This is a joint work with M. Bugden, O. Hulik, and D. Waldram.

Palatini variation in generalized geometry and effective actions

• Branislav Jurco

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Quantization of braided noncommutative field theories

• Marija Dimitrijević Ćirić

Room: 02.430 In this talk we will shortly review the construction of noncommutative field theories via the (braided) L-infinity algebra. Then we will discuss quantization of these theories on two examples: braided scalar field theory and braided U(1) gauge theory coupled with fermions, braided electrodynamics. In the case of scalar field theory we show the absence of UV/IR mixing at one loop order, while in the braided electrodynamics the UV/IR mixing remains present at one loop order.

D-branes and doubled geometry

• Richard Szabo

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