Classical Affine W-Algebras for glN and Associated Integrable Hamiltonian Hierarchies

Author(s)
De Sole, Alberto; Kac, Victor G; Valeri, Daniele
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Abstract
© 2016, Springer-Verlag Berlin Heidelberg. We apply the new method for constructing integrable Hamiltonian hierarchies of Lax type equations developed in our previous paper to show that all W-algebras W(glN, f) carry such a hierarchy. As an application, we show that all vector constrained KP hierarchies and their matrix generalizations are obtained from these hierarchies by Dirac reduction, which provides the former with a bi-Poisson structure.
Date issued
2016
URI
https://hdl.handle.net/1721.1/134510
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Communications in Mathematical Physics
Publisher
Springer Science and Business Media LLC
Citation
De Sole, Alberto, Victor G. Kac, and Daniele Valeri. "Classical Affine W-Algebras for Gl(N) and Associated Integrable Hamiltonian Hierarchies." Communications in Mathematical Physics 348 1 (2016): 265-319.
Version: Author's final manuscript
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