Abstract:
We use affine W-algebras to quantize Mishchenko–Fomenko subalgebras for
centralizers of nilpotent elements in finite dimensional simple Lie algebras
under certain assumptions that are satisfied for all cases in type A
and all minimal nilpotent cases outside type E8.
Key words and phrases:
Mishchenko–Fomenko subalgebras, vertex algebras, affine
W-algebras.
T. Arakawa is partially supported by JSPS KAKENHI Grants (#25287004 and #26610006). A. Premet was supported by the Leverhulme Trust (Grant RPG-2013–293).