Eder K, Sahlmann H (2021)
Publication Type: Journal article
Publication year: 2021
Book Volume: 103
Article Number: 046010
Journal Issue: 4
DOI: 10.1103/PhysRevD.103.046010
In this paper, the classical and quantum theory of 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 nonsupersymmetric generally covariant theories. The resulting theory is then quantized using loop quantum gravity methods. In particular, we propose and discuss a quantization of the supersymmetry constraint and derive explicit expressions of the action of the resulting operator. This is important as it is the first step on the way to analyzing the Dirac algebra generated by supersymmetry and Hamiltonian constraint in the quantum theory and for finding physical states. We also discuss some qualitative properties of such solutions of the SUSY constraint.
APA:
Eder, K., & Sahlmann, H. (2021). N=1 Supergravity with loop quantum gravity methods and quantization of the SUSY constraint. Physical Review D, 103(4). https://dx.doi.org/10.1103/PhysRevD.103.046010
MLA:
Eder, Konstantin, and Hanno Sahlmann. "N=1 Supergravity with loop quantum gravity methods and quantization of the SUSY constraint." Physical Review D 103.4 (2021).
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