KAC-MOODY REALIZATION OF W-ALGEBRAS

被引：62

作者：

BALOG, J

FEHER, L

FORGACS, P

ORAIFEARTAIGH, L

WIPF, A

机构：

[1] MAX PLANCK INST PHYS & ASTROPHYS,W-8000 MUNICH 40,GERMANY

[2] UNIV ZURICH,INST THEORET PHYS,CH-8001 ZURICH,SWITZERLAND

[3] SWISS FED INST TECHNOL,INST THEORET PHYS,CH-8093 ZURICH,SWITZERLAND

来源：

PHYSICS LETTERS B | 1990年 / 244卷 / 3-4期

关键词：

D O I：

10.1016/0370-2693(90)90341-3

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

By realizing the W-algebras of Toda field-theories as the algebras of gauge-invariant polynomials of constrained Kac-Moody systems we obtain a simple algorithm for constructing W-algebras without computing the W-generators themselves. In particular this realization yields an identification of a primary field basis for all the W-algebras, quadratic bases for the A, B, C-algebras, and the relation of W-algebras to Casimir algebras. At the quantum level it yields the general formula for the Virasoro centre in terms of the KM level. © 1990.

引用

页码：435 / 441

页数：7

共 22 条

[1] EXTENDED CONFORMAL ALGEBRA AND THE YANG-BAXTER EQUATION [J].