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arXiv · 1012.4216

4-dimensional Spin-foam Model with Quantum Lorentz Group

Muxin Han
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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.

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Muxin Han. 2011-10-23. 4-dimensional Spin-foam Model with Quantum Lorentz Group. https://doi.org/10.1063/1.3606592

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