spin network in nLab


#Contents#
* table of contents
{:toc}

## Idea

(...)


## Related concepts

* [[quantum gravity]]

* [[recoupling theory]]

* [[string diagram]]

* [[spin foam]]

* [[representation theory]]

* [[SU(2)]]

* [[10j symbol]]

* [[3-manifolds]]

## References

* Roger Penrose, Angular momentum: an approach to combinatorial space-time, in Quantum Theory and Beyond, ed. T. Bastin, Cambridge University Press, Cambridge, 1971, pp. 151–180 *[Penrose 71](https://math.ucr.edu/home/baez/penrose/Penrose-AngularMomentum.pdf)*

* R. Penrose, Applications of negative dimensional tensors,in Combinatorial Mathematics and its Applications, ed. D. Welsh, Academic Press, New York, 1971, pp. 221-244.

* R. Penrose, On the nature of quantum geometry, in Magic Without Magic,ed. J. Klauder, Freeman,San Francisco, 1972, pp. 333-354. [Penrose72](https://math.ucr.edu/home/baez/penrose/Penrose-OnTheNatureOfQuantumGeometry.pdf)

* R. Penrose, Combinatorial quantum theory and quantized directions, in Advances in Twistor Theory,eds. L. Hughston and R. Ward, Pitman Advanced Publishing Program, San Francisco, 1979, pp.301-317

* C. Rovelli and L. Smolin, Spin networks in quantum gravity, Phys. Rev.D52(1995), 5743-5759.

* J. Barrett and L. Crane, Relativistic spin networks and quantum gravity, J. Math. Phys.39(1998), 3296–3302. *[gr-qc/9709028](https://arxiv.org/abs/gr-qc/9709028)*

* J.C.Baez,``An Introduction to Spin Foam Models of $BF$ Theory and Quantum Gravity,''Lect. Notes Phys. 543, 25-93 (2000), doi:10.1007/3-540-46552-9, [arXiv:gr-qc/9905087](https://arxiv.org/pdf/gr-qc/9905087.pdf).

* J.C.Baez,``Spin network states in gauge theory,'' Adv. Math. 117, 253-272 (1996), doi:10.1006/aima.1996.0012, [arXiv:gr-qc/9411007 [gr-qc]].

* J.C Baez, ``Spin Networks in Nonperturbative Quantum Gravity'', The Interface of Knots and Physics, ed. Louis Kauffman, A.M.S., Providence, 1996, pp. 167-203 [gr-qc/9504036](https://arxiv.org/abs/gr-qc/9504036)

* E.Bianchi, P.Dona and S.Speziale,``Polyhedra in loop quantum gravity,''Phys. Rev. D 83, 044035 (2011),doi:10.1103/PhysRevD.83.044035,[arXiv:1009.3402 [gr-qc]] (https://arxiv.org/pdf/1009.3402v2.pdf).

See also 

* Wikipedia, *[Spin network](https://en.wikipedia.org/wiki/Spin_network)*

[[!redirects spin networks]]