Classification of extremal vertex operator algebras with two simple modules

被引：6

作者：

Grady, J. Connor ^{[1
]}

Lam, Ching Hung ^{[2
]}

Tener, James E. ^{[3
]}

Yamauchi, Hiroshi ^{[4
]}

机构：

[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA

[2] Acad Sinica, Inst Math, Taipei 10617, Taiwan

[3] Australian Natl Univ, Math Sci Inst, Canberra, ACT 2600, Australia

[4] Tokyo Womans Christian Univ, Dept Math, Suginami Ku, 2-6-1 Zempukuji, Tokyo 1678585, Japan

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2020年 / 61卷 / 05期

基金：

澳大利亚研究理事会;

关键词：

REGULARITY; FORMS;

D O I：

10.1063/1.5121446

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In recent work, Wang and Tener defined a class of "extremal" vertex operator algebras (VOAs), consisting of those with at least two simple modules and conformal dimensions as large as possible for the central charge. In this article, we show that there are exactly 15 character vectors of extremal VOAs with two simple modules. All but one of the 15 character vectors are realized by a previously known VOA. The last character vector is realized by a new VOA with central charge 33.

引用

页数：19

共 35 条

[1] Rationality, regularity, and C2-cofiniteness
Abe, T
Buhl, G
Dong, CY
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 356 (08) : 3391 - 3402
[2] Bantay P, 2007, COMMUN NUMBER THEORY, V1, P651
[3] Carnahan S., 2016, ARXIV160305645MATHRT
[4] Towards a classification of two-character rational conformal field theories
Chandra, A. Ramesh
Mukhi, Sunil
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2019, 2019 (04)
[5] Congruence property in conformal field theory
Dong, Chongying
Lin, Xingjun
Ng, Siu-Hung
[J]. ALGEBRA & NUMBER THEORY, 2015, 9 (09) : 2121 - 2166
[6] Regularity of rational vertex operator algebras
Dong, CY
Li, HS
Mason, G
[J]. ADVANCES IN MATHEMATICS, 1997, 132 (01) : 148 - 166
[7] Framed vertex operator algebras, codes and the moonshine module
Dong, CY
Griess, RL
Hohn, G
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1998, 193 (02) : 407 - 448
[8] Etingof P., 2015, Math. Surveys Monogr, V205
[9] The Exoticness and Realisability of Twisted Haagerup-Izumi Modular Data
Evans, David E.
Gannon, Terry
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2011, 307 (02) : 463 - 512
[10] Fourier Coefficients of Vector-valued Modular Forms of Dimension 2
Franc, Cameron
Mason, Geoffrey
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2014, 57 (03): : 485 - 494

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