Dirac Reduction for Poisson Vertex Algebras

Author(s)
De Sole, Alberto; Valeri, Daniele; Kac, Victor
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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.
Date issued
2014-07
URI
http://hdl.handle.net/1721.1/105172
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Communications in Mathematical Physics
Publisher
Springer Berlin Heidelberg
Citation
De Sole, Alberto, Victor G. Kac, and Daniele Valeri. “Dirac Reduction for Poisson Vertex Algebras.” Communications in Mathematical Physics 331.3 (2014): 1155–1190.
Version: Author's final manuscript
ISSN
0010-3616
1432-0916
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