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Revisiting EPRL: all finite-dimensional solutions by Naimark's fundamental theorem

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Publication:2408143
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DOI10.1007/s00023-017-0588-8zbMath1376.83019arXiv1610.00356OpenAlexW2952538100MaRDI QIDQ2408143

Leonid Perlov, Michael Bukatin

Publication date: 10 October 2017

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

Full work available at URL: https://arxiv.org/abs/1610.00356


zbMATH Keywords

representationBarbero-Immirzi parameterLorentz group representationEPRLNaimark's fundamental theorem


Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Quantization of the gravitational field (83C45) Structure and representation of the Lorentz group (22E43)




Cites Work

  • Flipped spinfoam vertex and loop gravity
  • LQG vertex with finite Immirzi parameter
  • Complex Ashtekar variables and reality conditions for Holst's action
  • A new look at loop quantum gravity
  • Loop-Quantum-Gravity Vertex Amplitude
  • Covariant Loop Quantum Gravity
  • Lorentzian loop quantum gravity vertex amplitude
  • Modern Canonical Quantum General Relativity
  • Quantum Gravity
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