Rigidity of weight module categories for admissible affine sl(2) and N=2 superconformal minimal models is proved, together with the conjectured fusion product decompositions, including non-semisimple summands.
The regularization of Dotsenko--Fateev integrals
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abstract
We discuss the regularization of certain hypergeometric integrals appearing in 2D CFT, a step needed in the construction of the BPZ minimal models via the Coulomb gas formalism. The method is a generalization of Pochhammer's regularization of the Euler Beta-function. The constructions of the relevant homology classes are inspired by a recent singular-geometric analysis of the Dotsenko--Fateev integrand.
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Fusion rules and rigidity for weight modules over the simple admissible affine $\mathfrak{sl}(2)$ and $\mathcal{N}=2$ superconformal vertex operator superalgebras
Rigidity of weight module categories for admissible affine sl(2) and N=2 superconformal minimal models is proved, together with the conjectured fusion product decompositions, including non-semisimple summands.