Computation of cohomology of Lie conformal and Poisson vertex algebras
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Author(s)
Bakalov, Bojko
De Sole, Alberto
Kac, Victor G
Date Issued
July 10, 2020
Publisher
Springer International Publishing
Citation
Selecta Mathematica. 2020 Jul 10;26(4):50
Version
Author's final manuscript
Abstract
Abstract
We develop methods for computation of Poisson vertex algebra cohomology. This cohomology is computed for the free bosonic and fermionic Poisson vertex (super)algebras, as well as for the universal affine and Virasoro Poisson vertex algebras. We establish finite dimensionality of this cohomology for conformal Poisson vertex (super)algebras that are finitely and freely generated by elements of positive conformal weight.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s00029-020-00578-2
