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Title of Journal: Commun Math Phys

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Abbravation: Communications in Mathematical Physics

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Springer Berlin Heidelberg

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DOI

10.1007/s11222-015-9610-5

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1432-0916

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Dirac Reduction for Poisson Vertex Algebras

Authors: Alberto De Sole Victor G Kac Daniele Valeri
Publish Date: 2014/07/03
Volume: 331, Issue: 3, Pages: 1155-1190
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Abstract

We construct an analogue of Dirac’s reduction for an arbitrary local or nonlocal Poisson bracket in the general setup of nonlocal Poisson vertex algebras This leads to Dirac’s reduction of an arbitrary nonlocal Poisson structure We apply this construction to an example of a generalized Drinfeld–Sokolov hierarchy

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