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arXiv:1306.6589 [math-ph]AbstractReferencesReviewsResources

Dirac reduction for Poisson vertex algebras

Alberto De Sole, Victor G. Kac, Daniele Valeri

Published 2013-06-27, updated 2014-07-23Version 3

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.

Comments: 31 pages. Corrected some typos and added missing equations in Section 8
Journal: Comm. Math. Phys. 331 (2014), n. 3, 1155-1190
Subjects: 17B69, 35Q53, 37K10, 37K30
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