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

2018/06/30 by Thomas Creutzig, Shashank Kanade, Tianshu Liu +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Coding theory and cryptography #Coset #Discrete mathematics #Fusion #Geometry #Linguistics #Mathematics #Minimal models #Philosophy #Product (mathematics) #Pure mathematics #Tensor (intrinsic definition) #Tensor product #hep-th #math-ph #math.MP #math.QA

paper · pdf · doi:10.1016/j.nuclphysb.2018.10.022

26 pages, minor revision

openalex created_date 2018/07/10 · openalex publication_date 2018/11/03 · arxiv created 2018/11/12 · arxiv updated 2018/12/05 · openalex updated_date 2026/08/05

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.

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Cited by

• N=4 superconformal algebras and diagonal cosets