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SUMMARY:On the Classification of holomorphic vertex operator algebras of c
 entral charge 24 - Ching Hung Lam (Academia Sinica)
DTSTART:20170616T090000Z
DTEND:20170616T100000Z
UID:TALK72962@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In 1993\, Schellekens obtained a list of possible Lie algebra 
 structures for the weight one subspaces of holomorphic vertex operator alg
 ebras (VOA) of central charge 24.  It was also conjectured that the VOA st
 ructure of a holomorphic VOA of central charge 24 is uniquely determined b
 y the Lie algebra structure of its weight one space. Recently\, all 71 cas
 es in Schellekens&#39\; list have been constructed. &nbsp\;<br><span><br>I
 n this talk\, we will discuss the recent progress on the classification of
  holomorphic vertex operator algebras of central charge 24. In particular\
 , we will discuss the construction of holomorphic VOAs using various types
  of orbifold  constructions. A technique\, which we call ``Reverse orbifol
 d construction"\, will also be discussed. This technique may be used to pr
 ove the uniqueness of holomorphic VOAs of central charge 24 if the weight 
 one subspace is not zero.&nbsp\;</span>
LOCATION:Seminar Room 1\, Newton Institute
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