REVERSE ORBIFOLD CONSTRUCTION AND UNIQUENESS OF HOLOMORPHIC VERTEX OPERATOR ALGEBRAS

被引：9
作者：
Lam, Ching Hung [1 ]
Shimakura, Hiroki [2 ,3 ]
机构：
[1] Acad Sinica, Inst Math, Taipei 10617, Taiwan
[2] Natl Ctr Theoret Sci Taiwan, Taipei, Taiwan
[3] Tohoku Univ, Grad Sch Informat Sci, Sendai, Miyagi 9808579, Japan
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 372卷 / 10期
关键词：
MODULAR-INVARIANCE; TRACE FUNCTIONS; REPRESENTATIONS; CLASSIFICATION;
D O I：
10.1090/tran/7887
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we develop a general technique for proving the uniqueness of holomorphic vertex operator algebras based on the orbifold construction and its "reverse" process. 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 1 Lie algebra if the Lie algebra has the type E(6,3)G(2,1)(3), A(2,3)(6), or A(5,3)D(4,3)A(1,1)(3).
引用
收藏
页码：7001 / 7024
页数：24
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