Dirac Reduction for Poisson Vertex Algebras
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Author(s)
De Sole, Alberto
Valeri, Daniele
Kac, Victor
Date Issued
July 2014
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/s00220-014-2103-0
