Hopf link volume simplicity constraints in spin foam models

DOI10.1088/1361-6382/abb117zbMath1479.83071arXiv2005.12004OpenAlexW3080693956MaRDI QIDQ5162051

Mehdi Assanioussi, Benjamin Bahr

Publication date: 1 November 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.12004

zbMATH Keywords

quantum gravitysimplicity constraintsspin foam modelsbivector geometriesHopf link volume

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Cites Work

• LQG vertex with finite Immirzi parameter
• Exactly soluble diffeomorphism invariant theories
• The spin-foam approach to quantum gravity
• REGGE GRAVITY FROM SPINFOAMS
• Corrigendum: Spin-foams for all loop quantum gravity
• A new spin foam model for 4D gravity
• Spin-foams for all loop quantum gravity
• Asymptotic analysis of the Engle–Pereira–Rovelli–Livine four-simplex amplitude
• (Broken) Gauge symmetries and constraints in Regge calculus
• Relativistic spin networks and quantum gravity
• SU(2) graph invariants, Regge actions and polytopes
• Spin foam models of Riemannian quantum gravity
• The Holst spin foam model via cubulations
• A new action for simplicial gravity in four dimensions

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