Carpentier, S., De Sole, A., Kac, V. G., Valeri, D. and Van De Leur, J. (2020) p ̲ -reduced Multicomponent KP hierarchy and classical W -algebras W ( gl N , p ̲ ). Communications in Mathematical Physics, 380, pp. 655-722. (doi: 10.1007/s00220-020-03817-x)
Text
221121.pdf - Accepted Version 814kB |
Abstract
For each partition p– of an integer N≥2, consisting of r parts, an integrable hierarchy of Lax type Hamiltonian PDE has been constructed recently by some of us. In the present paper we show that any tau-function of the p–-reduced r-component KP hierarchy produces a solution of this integrable hierarchy. Along the way we provide an algorithm for the explicit construction of the generators of the corresponding classical W-algebra W(glN,p–), and write down explicit formulas for evolution of these generators along the commuting Hamiltonian flows.
Item Type: | Articles |
---|---|
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Valeri, Dr Daniele |
Authors: | Carpentier, S., De Sole, A., Kac, V. G., Valeri, D., and Van De Leur, J. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Communications in Mathematical Physics |
Publisher: | Springer |
ISSN: | 0010-3616 |
ISSN (Online): | 1432-0916 |
Published Online: | 04 August 2020 |
Copyright Holders: | Copyright © 2020 Springer-Verlag GmbH Germany, part of Springer Nature |
First Published: | First published in Communications in Mathematical Physics 380:655–722 |
Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
University Staff: Request a correction | Enlighten Editors: Update this record