Dirac Reduction for Poisson Vertex Algebras

作者：De Sole Alberto^*; Kac Victor G; Valeri Daniele

来源：Communications in Mathematical Physics, 2014, 331(3): 1155-1190.

DOI：10.1007/s00220-014-2103-0

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.

• 出版日期2014-11
• 单位MIT