Non-perturbative 3D quantum gravity: quantum boundary states and exact partition function

DOI10.1007/s10714-020-02673-3zbMath1442.83012arXiv1912.01968OpenAlexW3098675066MaRDI QIDQ2179669

Aldo Riello, Christophe Goeller, Etera R. Livine

Publication date: 13 May 2020

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.01968

zbMATH Keywords

holographyspin networkboundary theorytopological quantum field theoryPonzano-Regge modelBMS group3D quantum gravitycoherent boundary statequasilocal holographyspinfoam models

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Quantization of the gravitational field (83C45) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Topological field theories in quantum mechanics (81T45) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Analogues of general relativity in lower dimensions (83C80)

Related Items (10)

Geometric actions and flat space holography ⋮ Transition amplitudes in 3D quantum gravity: boundaries and holography in the coloured Boulatov model ⋮ Discrete gravity dynamics from effective spin foams ⋮ Extended actions, dynamics of edge modes, and entanglement entropy ⋮ Loop quantum gravity boundary dynamics and SL(2,C) gauge theory ⋮ The quantum gravity disk: Discrete current algebra ⋮ Effective spin foam models for Lorentzian quantum gravity ⋮ The Ponzano–Regge cylinder and propagator for 3d quantum gravity ⋮ Most general theory of 3d gravity: covariant phase space, dual diffeomorphisms, and more ⋮ Perfect discretizations as a gateway to one-loop partition functions for 4D gravity

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