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SUMMARY:Higher Structures\, Gravity and Fields
DTSTART:20230109T080000Z
DTEND:20230127T160000Z
DTSTAMP:20240304T124200Z
UID:indico-event-312@indico.mitp.uni-mainz.de
CONTACT:HSGF2023@uni-mainz.de
DESCRIPTION:Many physical models possess symmetries that cannot be describ
ed by Lie algebras\, but require some kind of higher structure. This appli
es already to p-form gauge fields\, described by gerbes rather than fibre
bundles. An example under active research is generalised or extended geome
try — models capturing duality symmetries of gravity or supergravity\, o
ften inherited from string theory\, and described in terms of differential
geometry of L∞-algebras\, Courant and Leibniz algebroids\, QP manifolds
\, differential graded algebras\, tensor hierarchy algebras\, etc.\n\nWe o
rganise a 3-week programme bringing together theoretical physicists and ma
thematicians working in the areas of gravity\, dualities\, extended geomet
ry\, field theory\, higher homotopy structures\, and other infinite-dimens
ional superalgebras. The overarching goal is to make progress in construct
ing “exotic” field theories\, where conventional notions of spacetime
break down\, and thus traditional methods fail. These include exotic forms
of gravity\, extended (double and exceptional) geometry\, string/M-theory
and its dualities\, and higher spin theories.\n\nThe common feature of th
ese theories is the appearance of higher symmetry algebras\, generalising
the notion of Lie algebras. In this programme\, we will bring physicists a
nd mathematicians together working on these “higher structures” in ord
er to better understand the fundamental structures of physical theories an
d develop a bootstrap based on higher structures. \n\nKeywords:\n\n· gra
vity\, including non-standard versions\n· string theory / M-theory\n· du
alities\n· extended and graded geometry\n· gauge theory\n· higher spin
theory\n· higher homotopy structures\n· infinite-dimensional superalgebr
as\n\nhttps://indico.mitp.uni-mainz.de/event/312/
IMAGE;VALUE=URI:https://indico.mitp.uni-mainz.de/event/312/logo-1603261469
.png
LOCATION:02.430 (Mainz Institute for Theoretical Physics\, Johannes Gutenb
erg University)
URL:https://indico.mitp.uni-mainz.de/event/312/
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