On rationality of W-algebras

Details On rationality of W-algebras On rationality of W-algebras

2007-11-14

arxiv.org/abs/0711.2296v1

Physics

Mathematical Physics

41 pages

Scientific paper

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.

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