Quantizing Mishchenko-Fomenko subalgebras for centralizers via affine W-algebras

Abstract

We use affine W-algebras to quantize Mishchenko-Fomenko subalgebras for centralizers of nilpotent elements in simple Lie algebras under certain assumptions that are satisfied for all cases in type A and all minimal nilpotent cases outside type $E_8$.

The main result is stated and proved in greater generality. The present version is accepted for publication

References in corpus (2)

• Gaudin models with irregular singularities
• On higher order Sugawara operators

Cited by in corpus (1)

• A remark on Mishchenko-Fomenko algebras and regular sequences