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arXiv · 1112.2511

q-Deformation of Lorentzian spin foam models

Winston J. Fairbairn·Catherine Meusburger
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Abstract

We construct and analyse a quantum deformation of the Lorentzian EPRL model. The model is based on the representation theory of the quantum Lorentz group with real deformation parameter. We give a definition of the quantum EPRL intertwiner, study its convergence and braiding properties and construct an amplitude for the four-simplexes. We find that the resulting model is finite.

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Winston J. Fairbairn, Catherine Meusburger. 2011-12-12. q-Deformation of Lorentzian spin foam models. https://arxiv.org/abs/1112.2511

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