Vanishing Property of BRST Cohomology for Modified Highest Weight Modules

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...

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Bibliographic Details
Published in:Axioms 2023-06, Vol.12 (6), p.550
Main Author: Kwon, Namhee
Format: Article
Language:English
Subjects:
affine Lie superalgebras
Algebra
BRST cohomology
category
Decomposition
Eigenvectors
highest weight modules
Homology
Lie superalgebras
Modules
Verma modules
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Summary: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.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms12060550