Semidual Kitaev lattice model and tensor network representation
DOI10.1007/JHEP09(2021)210zbMath1472.81123arXiv1709.00522OpenAlexW3204804000MaRDI QIDQ2237705
Abdulmajid Osumanu, Florian Girelli, Prince K. Osei
Publication date: 27 October 2021
Published in: Journal of High Energy Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.00522
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Quantization of the gravitational field (83C45) Quantum field theory on lattices (81T25) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Hopf algebras and their applications (16T05) Matrix models and tensor models for quantum field theory (81T32)
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Cites Work
- The Hilbert space of 3d gravity: quantum group symmetries and observables
- Models for gapped boundaries and domain walls
- Kitaev lattice models as a Hopf algebra gauge theory
- Microscopic description of 2D topological phases, duality, and 3D state sums
- Quantum computation with Turaev-Viro codes
- Generalised Chern-Simons actions for 3d gravity and \(\kappa \)-Poincaré symmetry
- State sum invariants of 3-manifolds and quantum \(6j\)-symbols
- Quantum chains of Hopf algebras with quantum double cosymmetry
- The planar algebra associated to a Kac algebra
- On entanglement entropy in non-abelian lattice gauge theory and 3D quantum gravity
- Fusion basis for lattice gauge theory and loop quantum gravity
- Exactly soluble diffeomorphism invariant theories
- Fault-tolerant quantum computation by anyons
- Combinatorial quantization of the Hamiltonian Chern-Simons theory. I
- Four-dimensional \(BF\) theory as a topological quantum field theory
- Bicrossproduct structure of \(\kappa\)-Poincaré group and non-commutative geometry.
- Electric-magnetic duality of lattice systems with topological order
- On the semiduals of local isometry groups in three-dimensional gravity
- Three-dimensional loop quantum gravity: towards a self-gravitating quantum field theory
- Hopf algebras for physics at the Planck scale
- q-Euclidean space and quantum Wick rotation by twisting
- Poisson structure and symmetry in the Chern–Simons formulation of (2 1)-dimensional gravity
- Classical r -matrices for the generalised Chern–Simons formulation of 3d gravity
- Quantum isometry groups and Born reciprocity in 3d gravity
- Ponzano–Regge model revisited: I. Gauge fixing, observables and interacting spinning particles
- Invariants of piecewise-linear 3-manifolds
- Hamiltonian quantization of Chern Simons theory with SL (2, ) group
- A pedagogical overview on 2D and 3D Toric Codes and the origin of their topological orders
- Hopf algebra gauge theory on a ribbon graph
- From 3D topological quantum field theories to 4D models with defects
- A hierarchy of topological tensor network states
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