We construct an analogue of Dirac's reduction for an arbitrary local or non-local Poisson bracket in the general setup of non-local Poisson vertex algebras. This leads to Dirac's reduction of an arbitrary non-local Poisson structure. We apply this construction to an example of a generalized Drinfeld-Sokolov hierarchy. © 2014 Springer-Verlag Berlin Heidelberg.
Dirac Reduction for Poisson Vertex Algebras / DE SOLE, Alberto; Victor, Kac; Valeri, Daniele. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 331:3(2014), pp. 1155-1190. [10.1007/s00220-014-2103-0]
Dirac Reduction for Poisson Vertex Algebras
DE SOLE, ALBERTO;Daniele Valeri
2014
Abstract
We construct an analogue of Dirac's reduction for an arbitrary local or non-local Poisson bracket in the general setup of non-local Poisson vertex algebras. This leads to Dirac's reduction of an arbitrary non-local Poisson structure. We apply this construction to an example of a generalized Drinfeld-Sokolov hierarchy. © 2014 Springer-Verlag Berlin Heidelberg.File allegati a questo prodotto
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