Microscopic description of 2D topological phases, duality, and 3D state sums
From MaRDI portal
Publication:606160
DOI10.1155/2010/671039zbMath1201.81099arXiv0907.3724OpenAlexW3100012054WikidataQ58650082 ScholiaQ58650082MaRDI QIDQ606160
Annalisa Marzuoli, Mario Rasetti, Zoltan Kadar
Publication date: 16 November 2010
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0907.3724
Related Items (10)
A Hermitian TQFT from a non-semisimple category of quantum \({\mathfrak{sl}(2)}\)-modules ⋮ Quantum computation with Turaev-Viro codes ⋮ Non‐semisimple Levin–Wen models and Hermitian TQFTs from quantum (super)groups ⋮ String-net models for nonspherical pivotal fusion categories ⋮ Electric-magnetic duality of lattice systems with topological order ⋮ Semidual Kitaev lattice model and tensor network representation ⋮ Kitaev lattice models as a Hopf algebra gauge theory ⋮ Kitaev models based on unitary quantum groupoids ⋮ Fusing binary interface defects in topological phases: The Z/pZ case ⋮ Cardy algebras, sewing constraints and string-nets
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Topological quantum field theories
- Efficient quantum processing of three-manifold topological invariants
- \(2+1\)-dimensional gravity as an exactly soluble system
- On classification of modular tensor categories
- State sum invariants of 3-manifolds and quantum \(6j\)-symbols
- Quantum invariants of links and 3-valent graphs in 3-manifolds
- Topological quantum field theory and invariants of graphs for quantum groups
- Fault-tolerant quantum computation by anyons
- Spin networks in gauge theory
- Knot invariants from rational conformal field theories
- Spin foam models and the classical action principle
- Ground state entanglement and geometric entropy in the Kitaev model
- Computing spin networks
- Non-Abelian anyons and topological quantum computation
- Quantum geometry and quantum algorithms
- Polygon model from first-order gravity
- Quantum computation and the localization of modular functors
- Boundary terms in the Barrett-Crane spin foam model and consistent gluing
This page was built for publication: Microscopic description of 2D topological phases, duality, and 3D state sums
