String-net model of Turaev-Viro invariants

Abstract

In this paper, we describe the relation between the Turaev--Viro TQFT and the string-net space introduced in the papers of Levin and Wen. In particular, the case of surfaces with boundary is considered in detail.

27 pages, LaTeX with TikZ pictures

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Cited by in corpus (19)

• Topological Defects on the Lattice: Dualities and Degeneracies
• Partition function of the Levin-Wen model
• Dichromatic state sum models for four-manifolds from pivotal functors
• From 3D topological quantum field theories to 4D models with defects
• Factorization Homology and 4D TQFT
• CFT Correlators for Cardy Bulk Fields via String-Net Models
• Reduced Tensor Product on the Drinfeld Center
• The Elliptic Drinfeld Center of a Premodular Category
• Wegner-Wilson loops in string nets
• Crossing with the circle in Dijkgraaf-Witten theory and applications to topological phases of matter
• Pseudo-Hermitian Levin-Wen models from non-semisimple TQFTs
• Negativity in the Generalized Valence Bond Solid State
• The low-energy TQFT of the generalized double semion model
• A graphical approach to the Drinfeld centre
• Kitaev's stabilizer code and chain complex theory of bicommutative Hopf algebras
• On the Category of Boundary Values in the Extended Crane-Yetter TQFT
• Abelian Topological Order on Lattice Enriched with Electromagnetic Background
• Categorical Center of Higher Genera and 4D Factorization Homology
• Exactly solvable models for 2+1D topological phases derived from crossed modules of semisimple Hopf algebras