Discrete gravity as a topological field theory with light-like curvature defects

DOI10.1007/JHEP05(2017)142zbMath1380.83229arXiv1611.02784MaRDI QIDQ683049

Wolfgang Wieland

Publication date: 5 February 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.02784

zbMATH Keywords

topological field theoriesmodels of quantum gravitylattice models of gravitycurvature defect

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Topological field theories in quantum mechanics (81T45) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items (12)

Quantum gravity in three dimensions, Witten spinors and the quantisation of length ⋮ Edge modes of gravity. I: Corner potentials and charges ⋮ Edge modes of gravity. II: Corner metric and Lorentz charges ⋮ Relation between Regge calculus and BF theory on manifolds with defects ⋮ Fock representation of gravitational boundary modes and the discreteness of the area spectrum ⋮ New boundary variables for classical and quantum gravity on a null surface ⋮ Quasi-local gravitational angular momentum and centre of mass from generalised Witten equations ⋮ Generating functional for gravitational null initial data ⋮ Twistor representation of Jackiw –Teitelboim gravity ⋮ Edge modes of gravity. III: Corner simplicity constraints ⋮ General relativity with space-time defects ⋮ Gravity from symmetry: duality and impulsive waves

Cites Work

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• Four-dimensional quantum gravity with a cosmological constant from three-dimensional holomorphic blocks
• Flipped spinfoam vertex and loop gravity
• LQG vertex with finite Immirzi parameter
• A locally finite model for gravity
• Discrete approaches to quantum gravity in four dimensions
• Discreteness of area and volume in quantum gravity
• The spin-foam approach to quantum gravity
• Complex Ashtekar variables and reality conditions for Holst's action
• Loop quantum gravity à la Aharonov-Bohm
• Group field theory as the second quantization of loop quantum gravity
• Twistorial phase space for complex Ashtekar variables
• Hamiltonian analysis of non-chiral Plebanski theory and its generalizations
• A convergence result for linearised Regge calculus
• Quantum theory of geometry: I. Area operators
• Real and complex connections for canonical gravity
• The linearization of the Kodama state
• Background independent quantum gravity: a status report
• Continuous formulation of the loop quantum gravity phase space
• Quantum spin dynamics (QSD): III. Quantum constraint algebra and physical scalar product in quantum general relativity
• Quantum spin dynamics: VIII. The master constraint
• Group Field Theory and Loop Quantum Gravity
• The Continuum Limit of Loop Quantum Gravity: A Framework for Solving the Theory
• U( N ) tools for loop quantum gravity: the return of the spinor
• Modern Canonical Quantum General Relativity
• Loop quantum gravity
• \(\operatorname{SL}(2, \mathbb{C})\) Chern-Simons theory, a non-planar graph operator, and 4D quantum gravity with a cosmological constant: semiclassical geometry

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