3d quantum gravity: coarse-graining and \(q\)-deformation

DOI10.1007/s00023-016-0535-0zbMath1366.83023arXiv1610.02716OpenAlexW3122060162MaRDI QIDQ529610

Etera R. Livine

Publication date: 19 May 2017

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.02716

zbMATH Keywords

triangulationcosmological constant\(q\)-deformationBiedenharn-Elliott identitycoarse-grainingPachner moves3d quantum gravityHamiltonian constraintsPonzano-Regge state-sum modelspin foam

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Quantization of the gravitational field (83C45) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Analogues of general relativity in lower dimensions (83C80)

Related Items (7)

Multiplicity-free \(U_q(sl_N)\) 6-j symbols: relations, asymptotics, symmetries ⋮ Towards a dual spin network basis for (3+1)d lattice gauge theories and topological phases ⋮ Quasi-local holographic dualities in non-perturbative 3d quantum gravity. I: Convergence of multiple approaches and examples of Ponzano-Regge statistical duals ⋮ \((3+1)\)-dimensional topological phases and self-dual quantum geometries encoded on Heegaard surfaces ⋮ Exact Lorentz-violating q-deformed O(N) universality class ⋮ Influence of exact Lorentz-violating mechanism on the critical exponents for massive q-deformed λϕ4 scalar field theory ⋮ Quasi-local holographic dualities in non-perturbative 3D quantum gravity

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