Implementing holographic projections in Ponzano–Regge gravity

2001/07/31 by G. Arcioni, Giovanni Arcioni, M. Carfora +5 · 11 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Context (archaeology) #Holographic principle #Holography #Limit (mathematics) #Noncommutative and Quantum Gravity Theories #Partition function (quantum field theory) #Projection (relational algebra) #Quantum Electrodynamics and Casimir Effect #gr-qc #hep-th

paper · pdf · doi:10.1016/s0550-3213(01)00531-4

published in Nuclear Physics B 619(1-3), 690-708 (Elsevier BV) · 20 pages, latex

openalex publication_date 2001/12/01 · arxiv created 2002/01/11 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider the path-sum of Ponzano-Regge with additional boundary contributions in the context of the holographic principle of Quantum Gravity. We calculate an holographic projection in which the bulk partition function goes to a semi-classical limit while the boundary state functional remains quantum-mechanical. The properties of the resulting boundary theory are discussed.

Citations

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• Hierarchies of invariant spin models
• General relativity without coordinates
• THE SCATTERING MATRIX APPROACH FOR THE QUANTUM BLACK HOLE: AN OVERVIEW
• Trans-Planckian particles and the quantization of time
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
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• Classical and quantum conformal field theory
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• The large N limit of superconformal field theories and supergravity