On W-Algebras Associated to (2, p) Minimal Models and Their Representations

被引：43

作者：

Adamovic, Drazen ^{[2
]}

Milas, Antun ^{[1
]}

机构：

[1] SUNY Albany, Dept Math & Stat, Albany, NY 12222 USA

[2] Univ Zagreb, Dept Math, HR-10000 Zagreb, Croatia

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2010年 / 2010卷 / 20期

基金：

美国国家科学基金会;

关键词：

MODULAR INVARIANCE; CHARACTERS; FUSION;

D O I：

10.1093/imrn/rnq016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For every odd p >= 3, we investigate the representation theory of the vertex algebra W-2,W- p associated to (2, p) minimal models for the Virasoro algebras. We demonstrate that vertex algebras W-2,W- p are C-2 cofinite and irrational. Complete classification of irreducible representations for W-2,W-3 is obtained, while the classification for p >= 5 is subject to certain constant term identities.. These identities can be viewed as "logarithmic deformations" of Dyson and Selberg constant term identities, and are of independent interest.

引用

页码：3896 / 3934

页数：39

共 39 条

[1] Classification of irreducible modules of certain subalgebras of free boson vertex algebra [J].