Fairbairn W, Meusburger C (2012)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2012
Publisher: American Institute of Physics (AIP)
Book Volume: 53
Article Number: 022501
Journal Issue: 2
DOI: 10.1063/1.3675898
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 U (su(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. © 2012 American Institute of Physics.
APA:
Fairbairn, W., & Meusburger, C. (2012). Quantum deformation of two four-dimensional spin foam models. Journal of Mathematical Physics, 53(2). https://dx.doi.org/10.1063/1.3675898
MLA:
Fairbairn, Winston, and Cathérine Meusburger. "Quantum deformation of two four-dimensional spin foam models." Journal of Mathematical Physics 53.2 (2012).
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