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Keywords = affine Lie superalgebras

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10 pages, 281 KiB  
Article
Vanishing Property of BRST Cohomology for Modified Highest Weight Modules
by Namhee Kwon
Axioms 2023, 12(6), 550; https://doi.org/10.3390/axioms12060550 - 2 Jun 2023
Viewed by 1185
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 [...] Read more.
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. Full article
(This article belongs to the Special Issue Advances in Number Theory and Applications)
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