Ponzano-Regge model revisited II: Equivalence with Chern-Simons

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dc.creatorFreidel, Laurent
dc.creatorLouapre, David
dc.date2004-10-28
dc.date2005-02-14
dc.date.accessioned2026-07-07T03:29:07Z
dc.date.available2026-07-07T03:29:07Z
dc.descriptionWe provide a mathematical definition of the gauge fixed Ponzano-Regge model showing that it gives a measure on the space of flat connections whose volume is well defined. We then show that the Ponzano-Regge model can be equivalently expressed as Reshetikhin-Turaev evaluation of a colored chain mail link based on D(SU(2)): a non compact quantum group being the Drinfeld double of SU(2) and a deformation of the Poincare algebra. This proves the equivalence between spin foam quantization and Chern-Simons quantization of three dimensional gravity without cosmological constant. We extend this correspondence to the computation of expectation value of physical observables and insertion of particles.
dc.description27 + 23 pages, many figures
dc.identifierhttps://arxiv.org/abs/gr-qc/0410141
dc.identifierhttp://arxiv.org/abs/gr-qc/0410141
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/35089
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titlePonzano-Regge model revisited II: Equivalence with Chern-Simons
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