The F-Symbols for the H3 Fusion Category

Abstract

We present a solution for the F-symbols of the H3 fusion category, which is Morita equivalent to the even parts of the Haagerup subfactor. This solution has been computed by solving the pentagon equations and using several properties of trivalent categories.

arXiv comment23 pages, 1 picture, 1431 F-symbols

References in corpus (4)

• String-net condensation: A physical mechanism for topological phases
• Cyclotomic integers, fusion categories, and subfactors
• Geometric Invariants for Fusion Categories
• The Relation between Subfactors arising from Conformal Nets and the Realization of Quantum Doubles

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• The $F$-Symbols for Transparent Haagerup-Izumi Categories with $G={\mathbb{Z}}_{2n+1}$
• From gauging to duality in one-dimensional quantum lattice models