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

Ken Kikuchi

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arXiv · 2311.15631

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

Ken Kikuchi

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Abstract

We classify connected étale algebras $A$'s in pre-modular fusion categories $\mathcal B$ with $\text{rank}(\mathcal B)\le3$ 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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Ken Kikuchi. 2024-05-02. Classification of connected étale algebras in pre-modular fusion categories up to rank three. https://arxiv.org/abs/2311.15631

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