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

Creutzig T, Kanade S, Liu T, Ridout D (2019)

Publication Type: Journal article

Publication year: 2019

Journal

Nuclear Physics B Elsevier

Book Volume: 938

Pages Range: 22-55

DOI: 10.1016/j.nuclphysb.2018.10.022

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.

Involved external institutions

University of Alberta CA Canada (CA) University of Denver US United States (USA) (US)

How to cite

APA:

Creutzig, T., Kanade, S., Liu, T., & Ridout, D. (2019). Cosets, characters and fusion for admissible-level osp(1|2) minimal models. Nuclear Physics B, 938, 22-55. https://doi.org/10.1016/j.nuclphysb.2018.10.022

MLA:

Creutzig, Thomas, et al. "Cosets, characters and fusion for admissible-level osp(1|2) minimal models." Nuclear Physics B 938 (2019): 22-55.

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