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SUMMARY:Chiral algebras with exceptional finite symmetry groups
DTSTART;VALUE=DATE-TIME:20210531T030000Z
DTEND;VALUE=DATE-TIME:20210531T041500Z
DTSTAMP;VALUE=DATE-TIME:20230323T175413Z
UID:indico-contribution-5709@indico.ipmu.jp
DESCRIPTION:Speakers: Brandon Rayhaun (Stanford U.)\nThe classification of
finite simple groups is a remarkable theorem of modern mathematics which
says that every such group either a) belongs to one of three infinite fami
lies\, or b) is one of 26 exceptional cases\, which are called the sporadi
c groups. Of these 26 outliers\, 20 of them appear as subquotients inside
of the largest\, which is called the monster. It is natural to ask what ob
jects these groups act on by symmetries. In the case of the monster\, it i
s a cherished result of mathematical physics that it arises as the automor
phism group of a certain meromorphic conformal field theory of central cha
rge 24: the moonshine module. We show that the method of coset conformal f
ield theory can be effectively used to obtain chiral algebras which furnis
h several of the other sporadic groups as their symmetries. Moreover\, the
se chiral algebras embed into one another in the same way as do their auto
morphism groups\; that is to say\, we have discovered a functorial assignm
ent of subalgebras of the moonshine module to certain privileged subgroups
of the monster.\n\nhttps://indico.ipmu.jp/event/387/contributions/5709/
LOCATION:Online
URL:https://indico.ipmu.jp/event/387/contributions/5709/
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