Quantum deformation of two four-dimensional spin foam models

Language
en
Document Type
Article
Issue Date
2012-11-07
Issue Year
2012
Authors
Fairbairn, Winston J.
Meusburger, Catherine
Editor
Abstract

We construct the q-deformed version of two four-dimensional spin foam models, the Euclidean and Lorentzian versions of the Engle, Pereira, Rovelli and Livine (EPRL) model. The q-deformed models are based on the representation theory of two copies of Uq(math(2)) at a root of unity and on the quantum Lorentz group with a real deformation parameter. For both models, we give a definition of the quantum EPRL intertwiners, study their convergence and braiding properties, and construct an amplitude for the four-simplexes. We find that both of the resulting models are convergent.

Journal Title
Journal of Mathematical Physics 53.2 (2012): 06.11.2012 <http://jmp.aip.org/resource/1/jmapaq/v53/i2/p022501_s1>
Citation
Journal of Mathematical Physics 53.2 (2012): 06.11.2012 <http://jmp.aip.org/resource/1/jmapaq/v53/i2/p022501_s1>
DOI
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