q-deformed 3D loop gravity on the torus
DOI10.1088/1361-6382/ab5d4fzbMath1478.83084arXiv1907.11074OpenAlexW3106518315MaRDI QIDQ5161293
Qiaoyin Pan, Etera R. Livine, Maïté Dupuis
Publication date: 29 October 2021
Published in: Classical and Quantum Gravity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.11074
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantization in field theory; cohomological methods (81T70) Quantization of the gravitational field (83C45) Eta-invariants, Chern-Simons invariants (58J28) Symplectic structures of moduli spaces (53D30) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Discrete gravity models and loop quantum gravity: a short review
- The Hilbert space of 3d gravity: quantum group symmetries and observables
- Canonical quantization of non-commutative holonomies in 2 + 1 loop quantum gravity
- \(2+1\)-dimensional gravity as an exactly soluble system
- The quantisation of Poisson structures arising in Chern-Simons theory with gauge group \(G\ltimes{\mathfrak g}^*\)
- Invariant functions on Lie groups and Hamiltonian flows of surface group representations
- State sum invariants of 3-manifolds and quantum \(6j\)-symbols
- Bubble networks: framed discrete geometry for quantum gravity
- Combinatorial quantization of the Hamiltonian Chern-Simons theory. I
- Combinatorial quantization of the Hamiltonian Chern-Simons theory. II
- Skein theory and Turaev-Viro invariants
- Deformed spinor networks for loop gravity: towards hyperbolic twisted geometries
- Dirac’s discrete hypersurface deformation algebras
- A new Hamiltonian for the topological BF phase with spinor networks
- The Hamiltonian constraint in 3d Riemannian loop quantum gravity
- Ponzano–Regge model revisited: III. Feynman diagrams and effective field theory
- The Ponzano–Regge model
- Relativistic spin networks and quantum gravity
- A Lorentzian signature model for quantum general relativity
- Ponzano–Regge model revisited: I. Gauge fixing, observables and interacting spinning particles
- so (4) Plebanski action and relativistic spin-foam model
- Hamiltonian quantization of Chern Simons theory with SL (2, ) group
- Spinning geometry = Twisted geometry
- Quantum Gravity
This page was built for publication: q-deformed 3D loop gravity on the torus
