Classification of connected étale algebras in pre-modular fusion categories up to rank three

2023/11/27 by Kikuchi, Ken · 2 citations
#Category Theory (math.CT) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Strongly Correlated Electrons (cond-mat.str-el)

paper · doi:10.48550/arxiv.2311.15631

Abstract

We classify connected étale algebras A's in pre-modular fusion categories \mathcal B with rank(\mathcal B)≤3 including degenerate and non-(pseudo-)unitary ones. We comment on Lagrangian algebras and physical applications to ground state degeneracy and proof of spontaneous \mathcal B-symmetry breaking.

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