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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:On the Classification of holomorphic vertex operat
or algebras of central charge 24 - Ching Hung Lam
(Academia Sinica)
DTSTART;TZID=Europe/London:20170616T100000
DTEND;TZID=Europe/London:20170616T110000
UID:TALK72962AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/72962
DESCRIPTION:In 1993\, Schellekens obtained a list of possible
Lie algebra structures for the weight one subspace
s of holomorphic vertex operator algebras (VOA) of
central charge 24. It was also conjectured that
the VOA structure of a holomorphic VOA of central
charge 24 is uniquely determined by the Lie algebr
a structure of its weight one space. Recently\, al
l 71 cases in Schellekens'\; list have been con
structed.  \;
In this talk\, we w
ill discuss the recent progress on the classificat
ion of holomorphic vertex operator algebras of cen
tral charge 24. In particular\, we will discuss th
e construction of holomorphic VOAs using various t
ypes of orbifold constructions. A technique\, whi
ch we call ``Reverse orbifold construction"\, will
also be discussed. This technique may be used to
prove the uniqueness of holomorphic VOAs of centra
l charge 24 if the weight one subspace is not zero
. \;
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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