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Quantum geometric maps and their properties

MPS-Authors
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Finocchiaro,  Marco
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Oriti,  Daniele
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

2012.11536.pdf
(Preprint), 433KB

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Citation

Finocchiaro, M., Jeong, Y., & Oriti, D. (in preparation). Quantum geometric maps and their properties.


Cite as: http://hdl.handle.net/21.11116/0000-0007-A499-3
Abstract
Quantum geometric maps, which relate SU(2) spin networks and Lorentz covariant projected spin networks, are an important ingredient of spin foam models (and tensorial group field theories) for 4-dimensional quantum gravity. We give a general definition of such maps, that encompasses all current spin foam models, and we investigate their properties at such a general level. We then specialize the definition to see how the precise implementation of simplicity constraints affects features of the quantum geometric maps in specific models.