Integrability for Relativistic Spin Networks

  title={Integrability for Relativistic Spin Networks},
  author={John W. Barrett},
The evaluation of relativistic spin networks plays a fundamental role in the Barrett-Crane state sum model of Lorentzian quantum gravity in 4 dimensions. A relativistic spin network is a graph labelled by unitary irreducible representations of the Lorentz group appearing in the direct integral decomposition of the space of L functions on three-dimensional hyperbolic space. To ‘evaluate’ such a spin network we must do an integral; if this integral converges we say the spin network is ‘integrable… CONTINUE READING
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Barrett - Crane model from a Boulatov - Ooguri field theory over a homogeneous space

  • L. Freidel R. De Pietri, K. Krasnov, C. Rovelli
  • J . Math . Phys .
  • 2000

Invariants of 3 - manifolds via link polynomials and quantum groups

  • V. Turaev
  • J . Math . Phys .
  • 1999

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