A STUDY OF W-ALGEBRAS USING JACOBI IDENTITIES

被引：90

作者：

KAUSCH, HG

WATTS, GMT

机构：

[1] Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, CB3 9EW, Silver Street

来源：

NUCLEAR PHYSICS B | 1991年 / 354卷 / 2-3期

基金：

美国国家科学基金会; 美国国家航空航天局;

关键词：

D O I：

10.1016/0550-3213(91)90375-8

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

A theoretical framework in which to study the Jacobi identities on the commutators of W-algebra fields is established. W-algebras containing various specified combinations of fields of spin up to 8 are classified and constructed. In the cases studied, we show that there are closed W-algebraic structures, valid for all values of the central charge c, only for those field contents corresponding to the exponents of finite-dimensional semi-simple algebras.

引用

页码：740 / 768

页数：29