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Paper detail

Integrability of classical affine W-algebras

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 G_2, one in F_4, and five in E_8.

preprint2021arXivOpen access
Alberto De SoleMamuka JibladzeVictor G. KacDaniele Valeri
math.RTmath-phmath.MPmath.RAnlin.SI
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Alberto De SoleMamuka JibladzeVictor G. KacDaniele Valeri

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