2000 character limit reached
4-dimensional Spin-foam Model with Quantum Lorentz Group (1012.4216v3)
Published 19 Dec 2010 in gr-qc, hep-th, math-ph, and math.MP
Abstract: We study the quantum group deformation of the Lorentzian EPRL spin-foam model. The construction uses the harmonic analysis on the quantum Lorentz group. We show that the quantum group spin-foam model so defined is free of the infra-red divergence, thus gives a finite partition function on a fixed triangulation. We expect this quantum group spin-foam model is a spin-foam quantization of discrete gravity with a cosmological constant.