1306.6589 (Alberto De Sole et al.)

Dirac reduction for Poisson vertex algebras    [PDF]

Alberto De Sole, Victor G. Kac, Daniele Valeri

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.

View original: http://arxiv.org/abs/1306.6589