Classical Affine W-Algebras for glN and Associated Integrable Hamiltonian Hierarchies
Name
1509.06878.pdf
Description
Accepted version
Size
626.09 KB
Format
Adobe PDF
Checksum (MD5)
7d223fd11bac748f793f00909bc73908
Author(s)
De Sole, Alberto
Kac, Victor G
Valeri, Daniele
Date Issued
2016
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/S00220-016-2632-9
