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BEGIN:VEVENT
UID:738533d9b51b7e018bb9e90055c814da
CATEGORIES:Lie Group Quantum Mathematics Seminar
CREATED:20220203T113205
SUMMARY:BRST Construction of 10 Borcherds-Kac-Moody Algebras 
LOCATION:Zoom
DESCRIPTION:<p><strong>Abstract </strong>Borcherds-Kac-Moody algebras are natural gener
 alisations of finite-dimensional simple Lie algebras. There are exactly 10 
 Borcherds-Kac-Moody algebras whose denominator identities are completely re
 flective automorphic products of singular weight on lattices of squarefree 
 level (classified by Scheithauer). These belong to a larger class of Borche
 rds-Kac-Moody (super)algebras obtained by Borcherds by twisting the denomin
 ator identity of the Fake Monster Lie algebra. For the 10 Lie algebras we p
 rove a conjecture by Borcherds that they can be realised uniformly as the p
 hysical states of bosonic strings moving on suitable spacetimes. This amoun
 ts to applying the BRST formalism to certain vertex algebras of central cha
 rge 26 obtained as graded tensor products of abelian intertwining algebras.
 </p>
CONTACT:Sven Möller, University of Hamburg
X-EXTRAINFO:Zoom link https://rutgers.zoom.us/j/93921465287\nMeeting ID: 939 2146 5287\
 nPasscode: 196884, the dimension of the weight 2 homogeneous \nsubspace of 
 the moonshine module\n
DTSTAMP:20260907T111610
DTSTART;TZID=America/New_York:20220211T121000
DTEND;TZID=America/New_York:20220211T131000
SEQUENCE:0
TRANSP:OPAQUE
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