I have a basic understanding of how gravitational degrees of freedom are modeled in loop quantum gravity, but as far as I know, the main machinery, spin network states and observables, does not encode the matter degrees of freedom. How is matter currently modeled in loop quantum gravity?
Actually, the question applies not only to matter as in fermionic matter, but also the other three forces. The LQG spin networks are based around the SU2 symmetry of Ashtekar's gauge description of gravity. How do they incorporate the other gauge groups?
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