COVARIANT W-INFINITY GRAVITY AND ITS REDUCTION TO WN GRAVITY

被引:17
作者
SCHOUTENS, K
SEVRIN, A
VANNIEUWENHUIZEN, P
机构
[1] Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook
基金
美国国家科学基金会;
关键词
D O I
10.1016/0370-2693(90)90719-M
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
By gauging the linear w∞ algebra, imposing constraints on the curvatures and choosing suitable gauges, we obtain the covariant formulation of w∞ gravity. This theory is coupled to matrix valued scalar fields, where the set of matrices is closed under symmetrized products. For the case of the vector representation of u(N), the theory can be reduced to WN gravity. We present closed expressions for the reduction to a covariant theory of W3 gravity which we obtained previously. © 1990.
引用
收藏
页码:355 / 360
页数:6
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