Categorical spin-networks: state-sum invariants of 4-manifolds from higher-gauge theory
math-ph, cond-mat.str-el, hep-th, math.MP, math.QA
Submitted: 2026-09-25
Updated: 2026-09-25
Terminology
Sources
- A hierarchy of topological tensor network states
- Kitaev models based on unitary quantum groupoids
- Kitaev lattice models as a Hopf algebra gauge theory
- Boundary and domain wall theories of 2d generalized quantum double model
- On weak Hopf symmetry and weak Hopf quantum double model
- 2-Drinfel'd double symmetry of the 4d Kitaev model
- String-net condensation: A physical mechanism for topological phases
- String-net model of Turaev-Viro invariants
- Topological quasiparticles and the holographic bulk-edge relation in 2+1D string-net models
- Weak Hopf symmetry and tube algebra of the generalized multifusion string-net model
- A lattice realization of general three-dimensional topological order
- Invariants of Piecewise-Linear 3-Manifolds
- Hopf 2-algebras and Braided Monoidal 2-Categories
- Tannaka-Krein reconstruction for fusion 2-categories
- Topological phases from higher gauge symmetry in 3+1D
- On Yetter's Invariant and an Extension of the Dijkgraaf-Witten Invariant to Categorical Groups
- Dynamical generalization of Yetter's model based on a crossed module of discrete groups
- Excitations in strict 2-group higher gauge models of topological phases
- Lie crossed modules and gauge-invariant actions for 2-BF theories
- Hamiltonian analysis of the BFCG theory for a strict Lie 2-group
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