Dirac reduction for Poisson vertex algebras
Mathematical Physics
2015-12-18 v3 math.MP
Rings and Algebras
Representation Theory
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.1306.6589,
title = {Dirac reduction for Poisson vertex algebras},
author = {Alberto De Sole and Victor G. Kac and Daniele Valeri},
journal= {arXiv preprint arXiv:1306.6589},
year = {2015}
}
Comments
31 pages. Corrected some typos and added missing equations in Section 8