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SUMMARY:Borcherds Algebras and 2d String Theory
DTSTART;VALUE=DATE-TIME:20210604T120000Z
DTEND;VALUE=DATE-TIME:20210604T131500Z
DTSTAMP;VALUE=DATE-TIME:20240803T203350Z
UID:indico-contribution-5713@indico.ipmu.jp
DESCRIPTION:Speakers: Sarah Harrison (McGill U.)\nBorcherds Kac-Moody (BKM
) algebras are a generalization of familiar Kac-Moody algebras with imagin
ary simple roots. On the one hand\, they were invented by Borcherds in his
proof of the monstrous moonshine conjectures and have many interesting co
nnections to new moonshines\, number theory and the theory of automorphic
forms. On the other hand\, there is an old conjecture of Harvey and Moore
that BPS states in string theory form an algebra that is in some cases a B
KM algebra and which is based on certain signatures of BKMs observed in 4d
threshold corrections and black hole physics. I will talk about the const
ruction of new BKMs superalgebras arising from self-dual vertex operator a
lgebras of central charge 12\, and comment on their relation to physical s
tring theories in 2 dimensions. Based on work with N. Paquette\, D. Persso
n\, and R. Volpato.\n\nhttps://indico.ipmu.jp/event/387/contributions/5713
/
LOCATION:Online
URL:https://indico.ipmu.jp/event/387/contributions/5713/
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