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.
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Communicated by Y. Kawahigashi
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De Sole, A., Kac, V.G. & Valeri, D. Dirac Reduction for Poisson Vertex Algebras. Commun. Math. Phys. 331, 1155–1190 (2014). https://doi.org/10.1007/s00220-014-2103-0
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DOI: https://doi.org/10.1007/s00220-014-2103-0