Quantum deformation of two four-dimensional spin foam models

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.

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How to cite


Fairbairn, W., & Meusburger, C. (2012). Quantum deformation of two four-dimensional spin foam models. Journal of Mathematical Physics, 53(2). https://doi.org/10.1063/1.3675898


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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