Journal article

Unitary and non-unitary N=2 minimal models

Thomas Creutzig, Tianshu Liu, David Ridout, Simon 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.

University of Melbourne Researchers

Grants

Awarded by Natural Sciences and Engineering Research Council of Canada


Awarded by Australian Research Council Centre of Excellence for Mathematical and Statistical Frontiers


Awarded by Australian Research Council


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.