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Dirac reduction for Poisson vertex algebras

By Alberto De Sole, Victor G. Kac and Daniele Valeri

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

Publisher: Springer
Year: 2014
DOI identifier: 10.1007/s00220-014-2103-0
OAI identifier: oai:eprints.gla.ac.uk:168304
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