English

Supersymmetric Spin Networks and Quantum Supergravity

High Energy Physics - Theory 2009-10-31 v3 General Relativity and Quantum Cosmology

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9904016,
  title  = {Supersymmetric Spin Networks and Quantum Supergravity},
  author = {Yi Ling and Lee Smolin},
  journal= {arXiv preprint arXiv:hep-th/9904016},
  year   = {2009}
}

Comments

21 pages, LaTex, 22 figures, typos corrected and references completed

R2 v1 2026-07-22T16:14:49.660Z