Journal article

Cosets, characters and fusion for admissible-level osp (1 vertical bar 2) minimal models

Thomas Creutzig, Shashank Kanade, Tianshu Liu, David Ridout

NUCLEAR PHYSICS B | ELSEVIER | Published : 2019

Abstract

We study the minimal models associated to osp(1|2), otherwise known as the fractional-level Wess–Zumino–Witten models of osp(1|2). Since these minimal models are extensions of the tensor product of certain Virasoro and sl2 minimal models, we can induce the known structures of the representations of the latter models to get a rather complete understanding of the minimal models of osp(1|2). In particular, we classify the irreducible relaxed highest-weight modules, determine their characters and compute their Grothendieck fusion rules. We also discuss conjectures for their (genuine) fusion products and the projective covers of the irreducibles.

University of Melbourne Researchers