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4-dimensional Spin-foam Model with Quantum Lorentz Group

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.

preprint2011arXivOpen access
Muxin Han
math-phmath.MPgr-qchep-th
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Open access1 author4 topics
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Muxin Han

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