Unitary and non-unitary N = 2 minimal models

Creutzig, Thomas (grid.17089.37, Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, T6G 2G1, Canada) (0000 0004 0372 2033, grid.258799.8, Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan) ; Liu, Tianshu (0000 0001 2179 088X, grid.1008.9, School of Mathematics and Statistics, University of Melbourne, Parkville, 3010, Australia) ; Ridout, David (0000 0001 2179 088X, grid.1008.9, School of Mathematics and Statistics, University of Melbourne, Parkville, 3010, Australia) ; Wood, Simon (0000 0001 0807 5670, grid.5600.3, School of Mathematics, Cardiff University, Cardiff, CF24 4AG, United Kingdom)

12 June 2019

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


Published in: JHEP 1906 (2019) 024 DOI: 10.1007/JHEP06(2019)024
arXiv: 1902.08370
License: CC-BY-4.0



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