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2019 / March Volume 14 No.1
71 holomorphic vertex operator algebras of central charge 24
Published Date
2019 / March
Title
71 holomorphic vertex operator algebras of central charge 24
Author
Ching Hung Lam, Hiroki Shimakura
Keyword
Holomorphic vertex operator algebra, affine lie algebra, orbifold construction
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Pagination
87-118
Abstract
In this article, we give a survey on the recent progress towards the classification of strongly regular holomorphic vertex operator algebras of central charge 24. In particular, we review the construction of the holomorphic vertex operator algebras that realize the 71 Lie algebras in Schellekens’ list. In addition, we discuss an open question if the Lie algebra structure of the weight one subspace will determine the isomorphism class of a holomorphic vertex operator algebra of central charge 24 uniquely.
DOI
10.21915/BIMAS.2019105
https://doi.org/10.21915/BIMAS.2019105
AMS Subject
Classification
17B69
Received
2018-03-25
Accepted
2018-03-25
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