Generalized string-net model for unitary fusion categories without tetrahedral symmetry

Alexander Hahn, Ramona Wolf

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

Abstract

The Levin-Wen model of string-net condensation explains how topological phases emerge from the microscopic degrees of freedom of a physical system. However, the original construction is not applicable to all unitary fusion categories since some additional symmetries for the F-symbols are imposed. In particular, the so-called tetrahedral symmetry is not fulfilled by many interesting unitary fusion categories. In this paper, we present a generalized construction of the Levin-Wen model for arbitrary multiplicity-free unitary fusion categories that works without requiring these additional symmetries. We explicitly calculate the matrix elements of the Hamiltonian and, furthermore, show that it has the same properties as the original one.
Original languageEnglish
Article number115154
Pages (from-to)115154-1- 115154-21
Number of pages21
JournalPhysical Review B
Volume102
Issue number11
DOIs
Publication statusPublished - 24 Sept 2020
Externally publishedYes

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