W-algebras, higher rank false theta functions, and quantum dimensions

被引：11

作者：

Bringmann, Kathrin ^{[1
]}

Milas, Antun ^{[2
]}

机构：

[1] Univ Cologne, Math Inst, Weyertal 86-90, D-50931 Cologne, Germany

[2] SUNY Albany, Dept Math & Stat, 1400 Washington Ave, Albany, NY 12222 USA

来源：

SELECTA MATHEMATICA-NEW SERIES | 2017年 / 23卷 / 02期

基金：

欧洲研究理事会; 美国国家科学基金会;

关键词：

Characters; False theta functions; Jacobi forms; Modular forms; Vertex algebras; VERTEX ALGEBRAS; IDENTITY; FINITE;

D O I：

10.1007/s00029-016-0289-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by appearances of Rogers' false theta functions in the representation theory of the singlet vertex operator algebra, for each finite-dimensional simple Lie algebra of ADE type, we introduce higher rank false theta functions as characters of atypical modules of certain W-algebras and compute asymptotics of irreducible characters which allows us to determine quantum dimensions of the corresponding modules. In the -case, we recover many results from Bringmann and Milas.

引用

页码：1249 / 1278

页数：30

共 37 条

[1] Logarithmic intertwining operators and W(2,2p-1) algebras N [J].