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Unitary and non-unitary N = 2 minimal models

Creutzig, Thomas, Liu, Tianshu, Ridout, David and Wood, Simon ORCID: 2019. Unitary and non-unitary N = 2 minimal models. Journal of High Energy Physics 2019 (6) , 24. 10.1007/JHEP06(2019)024

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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 straight-forward classifications of the irreducible modules, branching rules, (super)characters and (Grothendieck) fusion rules.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Additional Information: This article is published under an open access license.
Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
ISSN: 1029-8479
Date of First Compliant Deposit: 20 June 2019
Date of Acceptance: 14 June 2019
Last Modified: 11 Nov 2023 17:20

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