The 3-state Potts model and Rogers-Ramanujan series

被引：2
|
作者：
Feingold, Alex J. [1 ]
Milas, Antun [2 ]
机构：
[1] SUNY Binghamton, Dept Math Sci, Binghamton, NY 13902 USA
[2] SUNY Albany, Dept Math & Stat, Albany, NY 12222 USA
来源：
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2013年 / 11卷 / 01期
基金：
美国国家科学基金会;
关键词：
Vertex algebras; Affine Kac-Moody Lie algebras; W-algebras; VERTEX OPERATOR-ALGEBRAS; REPRESENTATIONS; INVARIANCE;
D O I：
10.2478/s11533-012-0086-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We explain the appearance of Rogers-Ramanujan series inside the tensor product of two basic A (2) ((2)) -modules, previously discovered by the first author in [Feingold A.J., Some applications of vertex operators to Kac-Moody algebras, In: Vertex Operators in Mathematics and Physics, Berkeley, November 10-17, 1983, Math. Sci. Res. Inst. Publ., 3, Springer, New York, 1985, 185-206]. The key new ingredients are (5,6)Virasoro minimal models and twisted modules for the Zamolodchikov W (3)-algebra.
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页码：1 / 16
页数：16
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