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SUMMARY:Surya Raghavendran (Perimeter Institute for Theoretical Physics/Un
 iversity of Toronto)
DTSTART:20230705T160000Z
DTEND:20230705T170000Z
DTSTAMP:20260423T040329Z
UID:TQFT/89
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/89/">Tw
 isted eleven-dimensional supergravity and infinite-dimensional exceptional
  simple super Lie algebras</a>\nby Surya Raghavendran (Perimeter Institute
  for Theoretical Physics/University of Toronto) as part of Topological Qua
 ntum Field Theory Club (IST\, Lisbon)\n\n\nAbstract\nI'll describe a pertu
 rbative BV theory defined on 11-manifolds with a rank 6 transversely holom
 orphic foliation and a transverse Calabi–Yau structure. The theory has a
 n infinite dimensional algebra of gauge symmetries preserving the trivial 
 background\, which is $L_\\infty$ equivalent to a Lie 2-extension of the i
 nfinite dimensional exceptional simple super Lie algebra E(5|10). Conjectu
 rally\, this theory describes the minimal twist of eleven-dimensional supe
 rgravity. After describing this conjecture\, and evidence for it\, I'll de
 scribe twisted avatars of the AdS_4 x S^7 and AdS_7 x S^4 backgrounds\, an
 d how two other infinite dimensional exceptional simple super Lie algebras
  E(1|6) and E(3|6) appear as asymptotic symmetries. Enumerating gravitons 
 on such backgrounds naturally leads to refinements of generating functions
  of representation-theoretic significance\, such as the MacMahon function.
  Time permitting\, I'll explain how our results combined with holographic 
 techniques can be used to produce enhancements of familiar vertex algebras
  such as the Heisenberg and Virasoro algebras\, to holomorphic factorizati
 on algebras in three complex dimensions\, and furnish geometric constructi
 ons of representations thereof. This talk is based on joint work with Ingm
 ar Saberi and Brian Williams.\n
LOCATION:https://researchseminars.org/talk/TQFT/89/
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