Unitary and non-unitary \(N=2\) minimal models
Published in Journal of High Energy Physics, 2019
Treats the unitary and non-unitary \(N=2\) superconformal minimal models in one uniform framework by applying a Schur–Weyl-type duality for Heisenberg cosets to the Kazama–Suzuki coset construction. Obtains classifications of irreducible modules, branching rules, (super)characters and Grothendieck fusion rules, including those of logarithmic 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.
Recommended citation: T. Creutzig, T. Liu, D. Ridout and S. Wood, JHEP, 2019, 24 (2019)
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