INTEGRABILITY OF CLASSICAL AFFINE W-ALGEBRAS
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.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer US,
2021-11-01T14:33:13Z.
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| Subjects: | |
| Online Access: | Get fulltext |