Publication Date:
2011-03-03
Description:
In this article, we construct explicitly several holomorphic vertex operator algebras of central charge 24 using Virasoro frames. The Lie algebras associated to their weight one subspaces are of the types A 1,2 A 3,4 4 , A 1,2 D 5,8 , A 1,1 3 A 7,4 , A 1,1 2 C 3,2 D 5,4 , A 2,1 2 A 5,2 2 C 2,1 , A 3,1 A 7,2 C 3,1 2 , A 3,1 C 7,2 , A 4,1 A 9,2 B 3,1 , B 4,1 C 6,1 2 and B 6,1 C 10,1 . These vertex operator algebras correspond to number 7, 10, 18, 19, 26, 33, 35, 40, 48 and 56 in Schellekens’ list Schellekens (Commun Math Phys 153:159–185, 1993 ). Content Type Journal Article Pages 1-46 DOI 10.1007/s00220-011-1212-2 Authors Ching Hung Lam, Institute of Mathematics, Academia Sinica, Taipei, 10617 Taiwan Journal Communications in Mathematical Physics Online ISSN 1432-0916 Print ISSN 0010-3616
Print ISSN:
0010-3616
Electronic ISSN:
1432-0916
Topics:
Mathematics
,
Physics
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