TY - JOUR
T1 - On orbifold constructions associated with the Leech lattice vertex operator algebra
AU - Lam, Ching Hung
AU - Shimakura, Hiroki
N1 - Funding Information:
† Partially supported by MoST grant 104-2115-M-001-004-MY3 of Taiwan. ‡ Partially supported by JSPS KAKENHI Grant Numbers JP26800001 and JP17K05154. § Both authors were partially supported by JSPS Program for Advancing Strategic International Networks to Accelerate the Circulation of Talented Researchers “Development of Concentrated Mathematical Center Linking to Wisdom of the Next Generation”.
Publisher Copyright:
Copyright © Cambridge Philosophical Society 2018.
PY - 2020/3/1
Y1 - 2020/3/1
N2 - In this paper, we study orbifold constructions associated with the Leech lattice vertex operator algebra. As an application, we prove that the structure of a strongly regular holomorphic vertex operator algebra of central charge 24 is uniquely determined by its weight one Lie algebra if the Lie algebra has the type A3,43A1,2, A4,52, D4,12A2,6, A6,7, A7,4A1,13, D5,8A1,2 or D6,5A1,12 by using the reverse orbifold construction. Our result also provides alternative constructions of these vertex operator algebras (except for the case A6,7) from the Leech lattice vertex operator algebra.
AB - In this paper, we study orbifold constructions associated with the Leech lattice vertex operator algebra. As an application, we prove that the structure of a strongly regular holomorphic vertex operator algebra of central charge 24 is uniquely determined by its weight one Lie algebra if the Lie algebra has the type A3,43A1,2, A4,52, D4,12A2,6, A6,7, A7,4A1,13, D5,8A1,2 or D6,5A1,12 by using the reverse orbifold construction. Our result also provides alternative constructions of these vertex operator algebras (except for the case A6,7) from the Leech lattice vertex operator algebra.
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U2 - 10.1017/S0305004118000658
DO - 10.1017/S0305004118000658
M3 - Article
AN - SCOPUS:85052877798
SN - 0305-0041
VL - 168
SP - 261
EP - 285
JO - Mathematical Proceedings of the Cambridge Philosophical Society
JF - Mathematical Proceedings of the Cambridge Philosophical Society
IS - 2
ER -