INTEGRABILITY OF CLASSICAL AFFINE W-ALGEBRAS

Author(s)
SOLE, ALBERTO D; KAC, VICTOR G; JIBLADZE, MAMUKA; VALERI, DANIELE
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Abstract
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.
Date issued
2021-04-15
URI
https://hdl.handle.net/1721.1/136767
Department
Massachusetts Institute of Technology. Department of Mathematics
Publisher
Springer US
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