Inequivalent modular tensor categories with identical S, T and W

arXiv:2609.33231 · math.QA, cond-mat.str-el, hep-th · Submitted 2026-09-27 · Read on arXiv

math.QA, cond-mat.str-el, hep-th

Submitted: 2026-09-27

Updated: 2026-09-27

Terminology

• Trace — 4× in this paper · explained in 2 episodes
• Alternation — 2× in this paper · explained in 1 episode
• Anyons — 1× in this paper · explained in 2 episodes

Sources

• Group-theoretical properties of nilpotent modular categories
• A Topological Invariant for Modular Fusion Categories

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