Integrability of classical affine W-algebras

De Sole, A., Kac, V. G., Jibladze, M. and Valeri, D. (2021) Integrability of classical affine W-algebras. Transformation Groups, 26(2), pp. 479-500. (doi: 10.1007/s00031-021-09645-0)

Abstract

We prove that all classical affine W-algebras W(g;f), where g is a simple Lie algebra and f is its non-zero nilpotent element, admit an integrable hierarchy of bi-Hamiltonian PDEs, except possibly for one nilpotent conjugacy class in G2, one in F4, and five in E8.

• Item Type: Articles
• Additional Information: The first author was partially supported by the national PRIN grant 'Moduli and Lie theory', and the University grant n.1470755. The second author was partially supported by the grant FR-18-10849 of Shota Rustaveli National Science Foundation of Georgia. The third author was partially supported by the Bert and Ann Kostant fund.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Valeri, Dr Daniele
• Authors: De Sole, A., Kac, V. G., Jibladze, M., and Valeri, D.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Transformation Groups
• Publisher: Springer
• ISSN: 1083-4362
• ISSN (Online): 1531-586X
• Published Online: 15 April 2021
• Copyright Holders: Copyright © 2021 The Authors
• First Published: First published in Transformation Groups 26(2): 479-500
• Publisher Policy: Reproduced under a Creative Commons License

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