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On orbifold constructions associated with the Leech lattice vertex operator algebra

  • CHING HUNG LAM (a1) and HIROKI SHIMAKURA (a2)

Abstract

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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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”.

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On orbifold constructions associated with the Leech lattice vertex operator algebra

  • CHING HUNG LAM (a1) and HIROKI SHIMAKURA (a2)

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