On rationality of W-algebras

Abstract

We study the problem of classification of triples ($\mathfrak{g},f,k$), where $\mathfrak{g}$ is a simple Lie algebra, $f$ its nilpotent element and $k \in \CC$, for which the simple $W$-algebra $W_k(\mathfrak{g},f)$ is rational.

41 pages

References in corpus (1)

• Quantum Reduction for Affine Superalgebras

Cited by in corpus (1)

• Lattice construction of logarithmic modules for certain vertex algebras