Non-cyclotomic fusion categories

DOI10.1090/S0002-9947-2012-05498-5zbMath1284.18016arXiv1002.0168MaRDI QIDQ2841368

Noah Snyder, Scott Morrison

Publication date: 25 July 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.0168

zbMATH Keywords

subfactorscyclotomic fieldscounterexamplesfusion categories

Mathematics Subject Classification ID

Subfactors and their classification (46L37)

Related Items

Classification of Grothendieck rings of complex fusion categories of multiplicity one up to rank six ⋮ The little desert? Some subfactors with index in the interval $(5, 3+\sqrt{5})$ ⋮ Modular data for the extended Haagerup subfactor ⋮ New incompressible symmetric tensor categories in positive characteristic ⋮ 2-supertransitive subfactors at index \(3 + \sqrt{5}\) ⋮ The classification of subfactors of index at most 5 ⋮ Chirality and principal graph obstructions ⋮ Constructing the extended Haagerup planar algebra ⋮ Mathematics of topological quantum computing ⋮ Dualizable tensor categories ⋮ Galois orbits of TQFTs: symmetries and unitarity ⋮ Galois action on VOA gauge anomalies ⋮ Galois symmetry induced by Hecke relations in rational conformal field theory and associated modular tensor categories

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Constructing the extended Haagerup planar algebra
• Quadratic tangles in planar algebras
• Tannaka-Krein duality for Hopf algebroids
• Finitely semisimple spherical categories and modular categories are self-dual.
• The geometry of tensor calculus. I
• Markov traces and II\(_ 1\) factors in conformal field theory
• Exotic subfactors of finite depth with Jones indices \((5+\sqrt{13})/2\) and \((5+\sqrt{17})/2\)
• Module categories, weak Hopf algebras and modular invariants
• Finite, connected, semisimple, rigid tensor categories are linear
• Ribbon graphs and their invariants derived from quantum groups
• On fusion categories.
• ON EXOTIC MODULAR TENSOR CATEGORIES
• THE STRUCTURE OF SECTORS ASSOCIATED WITH LONGO–REHREN INCLUSIONS II: EXAMPLES
• A PLANAR ALGEBRA CONSTRUCTION OF THE HAAGERUP SUBFACTOR

This page was built for publication: Non-cyclotomic fusion categories