Towards Loop Quantum Supergravity (LQSG) I. Rarita-Schwinger Sector

@article{Bodendorfer2013TowardsLQ,
  title={Towards Loop Quantum Supergravity (LQSG) I. Rarita-Schwinger Sector},
  author={Norbert Bodendorfer and Thomas Thiemann and Andreas Thurn},
  journal={Classical and Quantum Gravity},
  year={2013},
  volume={30},
  pages={045006}
}
In our companion papers, we managed to derive a connection formulation of Lorentzian general relativity in D + 1 dimensions with compact gauge group SO(D + 1) such that the connection is Poisson-commuting, which implies that loop quantum gravity quantization methods apply. We also provided the coupling to standard matter. In this paper, we extend our methods to derive a connection formulation of a large class of Lorentzian signature supergravity theories, in particular 11 D SUGRA and 4 D, N = 8… 

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