N=1 Supergravity with loop quantum gravity methods and quantization of the SUSY constraint

@article{Eder2020N1S,
  title={N=1
 Supergravity with loop quantum gravity methods and quantization of the SUSY constraint},
  author={Konstantin Eder and H. Sahlmann},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2020}
}
  • K. Eder, H. Sahlmann
  • Published 30 October 2020
  • Physics
  • arXiv: General Relativity and Quantum Cosmology
In this paper, the classical and quantum theory of $\mathcal{N}=1$ supergravity in four spacetime dimensions will be studied in the framework of loop quantum gravity. We discuss the canonical analysis of the supergravity Holst action as first introduced by Tsuda. In this way, we also derive a compact expression of the supersymmetry constraint, which plays a crucial role in canonical supergravity theories, akin to the role of the Hamiltonian constraint in non-supersymmetric generally covariant… 

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