Unitary and non-unitary $N=2$ minimal models

Abstract

The unitary $N=2$ superconformal minimal models have a long history in string theory and mathematical physics, while their non-unitary (and logarithmic) cousins have recently attracted interest from mathematicians. Here, we give an efficient and uniform analysis of all these models as an application of a type of Schur-Weyl duality, as it pertains to the well-known Kazama-Suzuki coset construction. The results include straightforward classifications of the irreducible modules, branching rules, (super)characters and (Grothendieck) fusion rules.

32 pages

References in corpus (4)

• Braided tensor categories and extensions of vertex operator algebras
• sl^(2)_{-1/2}: A Case Study
• Fusion in Fractional Level sl^(2)-Theories with k=-1/2
• The Verlinde formula in logarithmic CFT

Cited by in corpus (1)

• Staggered modules of $N=2$ superconformal minimal models