On the irreducibility of associated varieties of W-algebras

Tomoyuki Arakawa , Anne Moreau (1)

1 LPP - Laboratoire Paul Painlevé - UMR 8524

We investigate the irreducibility of the nilpotent Slodowy slices that appear as the associated variety of W -algebras. Furthermore, we provide new examples of vertex algebras whose associated variety has finitely many symplectic leaves.

Mots clés: 81R10; 17B08; 14L30; Associated variety of vertex algebras; W-algebras; Branching; Nilpotent Slodowy slice

Domaines: Physique mathématique [math-ph]

Tomoyuki Arakawa, Anne Moreau. On the irreducibility of associated varieties of W-algebras. J.Algebra, 2018, 500, pp.542-568. ⟨10.1016/j.jalgebra.2017.06.007⟩. ⟨hal-02302748⟩