Journal article
Unitary and non-unitary N = 2 minimal models
T Creutzig, T Liu, D Ridout, S Wood
Journal of High Energy Physics | SPRINGER | Published : 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.
Grants
Awarded by University of Melbourne
Funding Acknowledgements
We thank Chris Raymond for a thorough proof-reading and helpful comments. TC is supported by the Natural Sciences and Engineering Research Council of Canada (RES0020460). TL's research is supported by a University Research Scholarship from the University of Melbourne. DR's research is supported by the Australian Research Council Discovery Project DP160101520 and the Australian Research Council Centre of Excellence for Mathematical and Statistical Frontiers CE140100049. SW's research is supported by the Australian Research Council Discovery Early Career Researcher Award DE140101825 and the Discovery Project DP160101520.