W-ALGEBRAS FROM CHERN-SIMONS THEORY

被引：11

作者：

BILAL, A

机构：

[1] CERN, DIV THEORY, CH-1211 GENEVA 23, SWITZERLAND

[2] ECOLE NORM SUPER, PHYS THEOR LAB, F-75231 PARIS 05, FRANCE

来源：

PHYSICS LETTERS B | 1991年 / 267卷 / 04期

关键词：

D O I：

10.1016/0370-2693(91)90898-Z

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We show that the physical state conditions of SL (3, R) Chern-Simons theory are equivalent to the Ward identities of the W3(2)-algebra. More precisely, choosing a specific polarization for quantizing the Chern-Simons theory, we can solve explicitly part of the Chern-Simons physical state conditions, while the remaining ones reduce to the Ward identities satisfied by the conformal blocks of the W3(2)-algebra extended conformal field theory (implying the OPEs). It is an obvious conjecture that a different choice of polarization leads to the Ward identities of W3 = W3(1) and that these relations can be generalized to SL(n,R) Chern-Simons and W(n).

引用

页码：487 / 496

页数：10

共 25 条

[1] EXTENSIONS OF THE VIRASORO ALGEBRA CONSTRUCTED FROM KAC-MOODY ALGEBRAS USING HIGHER-ORDER CASIMIR INVARIANTS [J].