Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-04-02
Phys.Rev. D61 (2000) 044008
Physics
High Energy Physics
High Energy Physics - Theory
21 pages, LaTex, 22 figures, typos corrected and references completed
Scientific paper
10.1103/PhysRevD.61.044008
We define supersymmetric spin networks, which provide a complete set of gauge invariant states for supergravity and supersymmetric gauge theories. The particular case of Osp(1/2) is studied in detail and applied to the non-perturbative quantization of supergravity. The supersymmetric extension of the area operator is defined and partly diagonalized. The spectrum is discrete as in quantum general relativity, and the two cases could be distinguished by measurements of quantum geometry.
Ling Yi
Smolin Lee
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