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.
Computation of cohomology of Lie conformal and Poisson vertex algebras / Bakalov, B.; De Sole, A.; Kac, V. G.. - In: SELECTA MATHEMATICA. - ISSN 1022-1824. - 26:4(2020). [10.1007/s00029-020-00578-2]
Computation of cohomology of Lie conformal and Poisson vertex algebras
De Sole A.;
2020
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.File allegati a questo prodotto
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