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.
2020
Affine Lie algebras; basic cohomology; energy operator; LCA cohomology; Lie conformal (super)algebras; poisson vertex (super)algebras; variational PVA cohomology; virasoro algebra
01 Pubblicazione su rivista::01a Articolo in rivista
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1460512
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