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SUMMARY:Applied Newton-Cartan Geometry
DTSTART;VALUE=DATE-TIME:20180312T070000Z
DTEND;VALUE=DATE-TIME:20180316T170000Z
DTSTAMP;VALUE=DATE-TIME:20200810T200213Z
UID:indico-event-141@indico.mitp.Uni-Mainz.DE
DESCRIPTION:The field of Applied Newton-Cartan Geometry is currently a rap
idly developing field which is attracting researchers from different direc
tions. Recent studies of non-AdS holography involving Lifshitz spacetimes
have led to field theories with non-relativistic scaling\, that are couple
d to an extension of Newton-Cartan geometry that includes so-called twistl
ess torsion. Parallel to this development\, effective field theories in a
Newton-Cartan background have been studied in Condensed Matter Physics and
used to describe a variety of non-relativistic systems such as the Fracti
onal Quantum Hall Effect\, chiral superfluids and simple fluids. Besides t
he holographic and effective field theory applications\, there have been m
any other recent applications of Newton-Cartan geometry in different field
s ranging from hydrodynamics to modified gravity\, and even connections to
String Theory. For instance\, it has been shown that Hořava-Lifshitz gra
vity and novel extensions can be described using dynamical Newton-Cartan g
eometry. Furthermore\, Newton-Cartan geometry obeys a duality with its ult
ra-relativistic cousin\, Carroll geometry. Carroll symmetries have been sh
own to occur as symmetries of strongly coupled gravity and\, more recently
\, of plane gravitational waves while a conformal extension of it is relat
ed to the so-called BMS symmetry of flat-space holography. Finally\, study
ing supersymmetric non-relativistic field theories on curved Newton–Cart
an backgrounds enables one to apply powerful localization techniques to ex
tract exact non-perturbative results for these field theories such as the
partition function and the vacuum expectation value of Wilson lines.\n\nTh
e aim of this interdisciplinary topical workshop is to advance these recen
t exciting applications of NC geometry in different directions. It will en
able participants from different backgrounds (Condensed Matter Physics\, M
athematics\, Statistical Physics\, Gravity and String Theory) to interact
and exchange new ideas. The first topical workshop on Applied Newton-Carta
n Geometry was organised in March 2017 at the Simons Center for Geometry a
nd Physics in Stony Brook (USA)\, see the webpage http://scgp.stonybrook.e
du/archives/18337. This workshop was a huge success and led to many contac
ts across different disciplines which otherwise would never have been esta
blished. New directions where set in motion like novel applications of mas
sive gravity in the Fractional Quantum Hall Effect\, the role of hydrodyna
mics without boost invariance and new applications of torsion in holograph
y and Condensed Matter Physics.The aim of this workshop is to repeat the s
uccess of the Simons workshop and to give a significant boost to the emerg
ing field of Applied Newton-Cartan Geometry and its cross-disciplinary opp
ortunities.\n\nParticipants include:\n\n\n Alejandra Castro (University
of Amsterdam)\n Jose Figueroa-O'Farrill (University of Edingburgh)\n
Jelle Hartong (University of Amsterdam)\n Petr Horava (UC Berkeley)\n
Robert Leigh (University of Illinois\, Urbana)\n Djordje Minic (Vir
ginia Tech)\n Jan Rosseel (University of Vienna)\n Marika Taylor (Un
iversity of Southampton)\n\n\n(see the pdf file on left for the full list
of final partipants)\n\nhttps://indico.mitp.uni-mainz.de/event/141/
LOCATION:Mainz Institute for Theoretical Physics\, Johannes Gutenberg Univ
ersity 02.430
URL:https://indico.mitp.uni-mainz.de/event/141/
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