# 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} }

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…

## 4 Citations

Supersymmetric minisuperspace models in loop quantum cosmology

- Physics, Mathematics
- 2020

In this paper, we study a class of symmetry reduced models of $\mathcal{N}=1$ supergravity using self-dual variables. It is based on a particular Ansatz for the gravitino field as proposed by D'Eath…

Super Cartan geometry and the super Ashtekar connection

- Physics
- 2020

This work is devoted to the geometric approach to supergravity. More precisely, we interpret N = 1 supergravity as a super Cartan geometry which provides a link between supergravity and super…

Supersymmetric minisuperspace models in self-dual loop quantum cosmology

- Physics, MathematicsJournal of High Energy Physics
- 2021

Abstract
In this paper, we study a class of symmetry reduced models of $$ \mathcal{N} $$
N
= 1 super- gravity using self-dual variables. It is based on a particular Ansatz for the gravitino field…

Holst-MacDowell-Mansouri action for (extended) supergravity with boundaries and super Chern-Simons theory

- PhysicsJournal of High Energy Physics
- 2021

Abstract
In this article, the Cartan geometric approach toward (extended) supergravity in the presence of boundaries will be discussed. In particular, based on new developments in this field, we…

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