This analysis computes cohomology groups using the BRST method in Lie superalgebras, indicating new theoretical insights.
Recently, a new cohomology theory of Lie superalgebras which is called mixed cohomology was investigated. On this basis, in this paper, we use the BRST method to calculate the cohomology groups of affinization for the general linear Lie superalgebras.
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Xu et al. (2025) studied this question.
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