LIE-ALGEBRA COHOMOLOGY

被引:49
作者
BRANDT, F
DRAGON, N
KREUZER, M
机构
[1] Institut für Theoretische Physik, Universität Hannover, D-3000 Hannover 1
关键词
D O I
10.1016/0550-3213(90)90038-F
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
We calculate the cohomology of the BRS operator s modulo an auxiliary differential operator t where both operators act on invariant polynomials in anticommuting variables Ci and commuting variables Xi.Ci and Xi transform according to the adjoint representation of the Lie algebra of a compact Lie group. The cohomology classes of s modulo t are related to the solutions of the consistency equations which ha have to be satisfied by anomalies of Yang-Mills theories. The present investigation completes the proof of the completeness and nontriviality of these solutions and, as a by-product, determines the cohomology of the underlying Lie algebra. © 1990.
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页码:250 / 260
页数:11
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