Hopf algebra gauge theory on a ribbon graph
From MaRDI portal
Publication:5156091
DOI10.1142/S0129055X21500161zbMath1483.16033arXiv1512.03966MaRDI QIDQ5156091
Derek K. Wise, Catherine Meusburger
Publication date: 14 October 2021
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.03966
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Topological field theories in quantum mechanics (81T45) Hopf algebras and their applications (16T05)
Related Items (13)
Unrestricted quantum moduli algebras. I: The case of punctured spheres ⋮ The Fock-Rosly Poisson structure as defined by a quasi-triangular \(r\)-matrix ⋮ Projective representations of mapping class groups in combinatorial quantization ⋮ Boundary and domain wall theories of 2d generalized quantum double model ⋮ Modified toric code models with flux attachment from Hopf algebra gauge theory ⋮ Fusion basis for lattice gauge theory and loop quantum gravity ⋮ On weak Hopf symmetry and weak Hopf quantum double model ⋮ Quantum holonomy fields ⋮ Finite presentations for stated skein algebras and lattice gauge field theory ⋮ Semidual Kitaev lattice model and tensor network representation ⋮ Kitaev lattice models as a Hopf algebra gauge theory ⋮ Modular group representations in combinatorial quantization with non-semisimple Hopf algebras ⋮ Integrality, duality and finiteness in combinatoric topological strings
Cites Work
- Gauge networks in noncommutative geometry
- A geometric approach to boundaries and surface defects in Dijkgraaf-Witten theories
- Quantum computation with Turaev-Viro codes
- Decorated Teichmüller theory
- P.l. homeomorphic manifolds are equivalent by elementary shellings
- Anyons in an exactly solved model and beyond
- Some properties of finite-dimensional semisimple Hopf algebras
- State sum invariants of 3-manifolds and quantum \(6j\)-symbols
- Topological interpretations of lattice gauge field theory
- Symplectic structures associated to Lie-Poisson groups
- Graphs on surfaces and their applications. Appendix by Don B. Zagier
- On twisting of finite-dimensional Hopf algebras.
- Fault-tolerant quantum computation by anyons
- Combinatorial quantization of the Hamiltonian Chern-Simons theory. I
- Combinatorial quantization of the Hamiltonian Chern-Simons theory. II
- Two dimensional lattice gauge theory based on a quantum group
- Link invariants and combinatorial quantization of Hamiltonian Chern Simons theory
- Invariants of 3-manifolds via link polynomials and quantum groups
- Minimal quasitriangular Hopf algebras
- Representation theory of Chern-Simons observables
- Some properties of factorizable Hopf algebras
- The braided Heisenberg group
- Semisimple Cosemisimple Hopf Algebras
- Graphs on Surfaces
- A hierarchy of topological tensor network states
- Advanced Algebra
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Hopf algebra gauge theory on a ribbon graph