We prove that all classical affine W-algebras (; 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.
Integrability of classical affine W-algebras / De Sole, Alberto; Jibladze, Mamuka; Kac, Victor G.; Valeri, Daniele. - In: TRANSFORMATION GROUPS. - ISSN 1083-4362. - 26:2(2021), pp. 479-500. [10.1007/s00031-021-09645-0]
Integrability of classical affine W-algebras
DE SOLE, ALBERTO;VALERI, DANIELE
2021
Abstract
We prove that all classical affine W-algebras (; 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.File allegati a questo prodotto
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