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arXiv · 1909.05053

The BRST cohomology and a generalized Lie algebra cohomology: analysis of a matrix model

Roberta A. Iseppi
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Abstract

This article is devoted to the analysis of the gauge-fixed BRST cohomology complex for a matrix model endowed with a $U(2)$-gauge symmetry. After a brief introduction on the BV construction and the gauge-fixing procedure in the setting of finite-dimensional gauge theories, we apply these constructions to the model, with the purpose of explicitly determining and computing the corresponding gauge-fixed BRST cohomology groups. In the second part of this article, we introduce a notion of generalized Lie algebra cohomology, which allows the gauge-fixed BRST cohomology complex for a new description, able to detect a double complex structure.

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Roberta A. Iseppi. 2019-09-11. The BRST cohomology and a generalized Lie algebra cohomology: analysis of a matrix model. https://arxiv.org/abs/1909.05053

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