q-deformed 3D loop gravity on the torus
type: Item
instance of: scholarly article
title: q-deformed 3D loop gravity on the torus
zbMATH Open document ID: 1478.83084
author: Maïté Dupuis
author: Etera R. Livine
author: Qiaoyin Pan
published in: Classical and Quantum Gravity
publication date: 2021-10-29T00:00:00Z
full work available at URL: https://arxiv.org/abs/1907.11074
Mathematics Subject Classification ID: 83C45
Mathematics Subject Classification ID: 81R50
Mathematics Subject Classification ID: 81T70
Mathematics Subject Classification ID: 81T13
Mathematics Subject Classification ID: 14D21
Mathematics Subject Classification ID: 58J28
Mathematics Subject Classification ID: 53D30
zbMATH DE Number: 7417404
zbMATH Keywords: loop quantum gravity
zbMATH Keywords: 3D gravity
zbMATH Keywords: \(q\)-deformation
MaRDI profile type: Publication
OpenAlex ID: W3106518315
arXiv ID: 1907.11074
cites work: so (4) Plebanski action and relativistic spin-foam model
cites work: Relativistic spin networks and quantum gravity
cites work: A Lorentzian signature model for quantum general relativity
cites work: \(2+1\)-dimensional gravity as an exactly soluble system
cites work: Combinatorial quantization of the Hamiltonian Chern-Simons theory. I
cites work: Combinatorial quantization of the Hamiltonian Chern-Simons theory. II
cites work: Q4263545
cites work: Hamiltonian quantization of Chern Simons theory with SL (2, ) group
cites work: Ponzano–Regge model revisited: I. Gauge fixing, observables and interacting spinning particles
cites work: Ponzano–Regge model revisited: III. Feynman diagrams and effective field theory
cites work: The Ponzano–Regge model
cites work: Quantum Gravity
cites work: State sum invariants of 3-manifolds and quantum \(6j\)-symbols
cites work: The Hilbert space of 3d gravity: quantum group symmetries and observables
cites work: The quantisation of Poisson structures arising in Chern-Simons theory with gauge group \(G\ltimes{\mathfrak g}^*\)
cites work: Skein theory and Turaev-Viro invariants
cites work: Canonical quantization of non-commutative holonomies in 2 + 1 loop quantum gravity
cites work: Invariant functions on Lie groups and Hamiltonian flows of surface group representations
cites work: Discrete gravity models and loop quantum gravity: a short review
cites work: Spinning geometry = Twisted geometry
cites work: Bubble networks: framed discrete geometry for quantum gravity
cites work: The Hamiltonian constraint in 3d Riemannian loop quantum gravity
cites work: A new Hamiltonian for the topological BF phase with spinor networks
cites work: Dirac's discrete hypersurface deformation algebras
cites work: Deformed spinor networks for loop gravity: towards hyperbolic twisted geometries
cites work: Q4395061
DOI: 10.1088/1361-6382/AB5D4F
Recommended article: q-deformation and semidualization in 3D quantum gravity
Recommended article: 3d quantum gravity: coarse-graining and \(q\)-deformation
Recommended article: Q4380818
Recommended article: On the q -quantum gravity loop algebra
Recommended article: Quantum gravity on dS3
Recommended article: Loop representations for 2+1 gravity on a torus
Recommended article: CONFORMAL FIELD THEORY ON R × S3 FROM QUANTIZED GRAVITY
Recommended article: FEYNMAN LOOPS AND THREE-DIMENSIONAL QUANTUM GRAVITY
Recommended article: Quantization of Lorentzian 3D gravity by partial gauge fixing
description: scientific article; zbMATH DE number 7417404