Supersymmetric Spin Networks and Quantum Supergravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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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.

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