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SUMMARY:Natalie Paquette (IAS)
DTSTART:20201005T190000Z
DTEND:20201005T200000Z
DTSTAMP:20260423T021424Z
UID:WHCGP/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WHCGP/15/">B
 orcherds-Kac-Moody algebras\, 2d strings\, & other curiosities</a>\nby Nat
 alie Paquette (IAS) as part of Western Hemisphere colloquium on geometry a
 nd physics\n\n\nAbstract\nIn this talk we will extol the virtues of compac
 tifying critical string theory down to few noncompact spacetime dimensions
  (particularly two). These string vacua possess rich groups of dualities. 
 BPS-saturated quantities\, which mathematically are described by automorph
 ic forms\, are invariant under such duality transformations. Further\, suc
 h BPS states can furnish representations of interesting algebras\, such as
  infinite-dimensional Lie algebras. In this talk\, we explore some particu
 larly nice\, concrete examples\, which employ holomorphic super vertex ope
 rator algebras in our `compactification' theories. The BPS states in these
  models organize into representations of algebras\, which we prove are (ne
 w) examples of Borcherds-Kac-Moody superalgebras.\n
LOCATION:https://researchseminars.org/talk/WHCGP/15/
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