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Vanishing Property of BRST Cohomology for Modified Highest Weight Modules

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We construct certain modified highest weight modules which are called quasi highest weight modules in this paper. Using the quasi highest weight modules, we introduce a new category of modules… Click to show full abstract

We construct certain modified highest weight modules which are called quasi highest weight modules in this paper. Using the quasi highest weight modules, we introduce a new category of modules over an affine Lie superalgebra which contains projective covers. We also prove that both these projective covers and the quasi highest weight modules satisfy the vanishing property of BRST cohomology.

Keywords: highest weight; weight modules; vanishing property; property brst; modified highest

Journal Title: Axioms
Year Published: 2023

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