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 four-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 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.
Highlights
Quantum geometric maps, which relate SU (2) spin networks and Lorentz covariant projected spin networks, are an important ingredient of spin foam models for
The second is that boundary data of spin foam amplitudes, for appropriate models, define spin networks, i.e. the same fundamental structures of the quantum geometry of canonical Loop Quantum Gravity (LQG) [6,7,8]
One would like to understand if this incompatibility is a generic feature of quantum geometric maps, whether it depends on other properties having been assumed for the same maps, or whether it follows from the choice of quantum imposition of the simplicity constraints
Summary
We specialize the definition to see how the precise implementation of simplicity constraints affects features of the quantum geometric maps in specific models
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
