# Supersymmetric minisuperspace models in self-dual loop quantum cosmology

@article{Eder2021SupersymmetricMM,
title={Supersymmetric minisuperspace models in self-dual loop quantum cosmology},
author={Konstantin Eder and H. Sahlmann},
journal={Journal of High Energy Physics},
year={2021}
}
• Published 1 March 2021
• Physics, Mathematics
• Journal of High Energy Physics
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 as proposed by D’Eath et al. We show that the essential part of the constraint algebra in the classical theory closes. In particular, the (graded) Poisson bracket between the left and right supersymmetry constraint reproduces the Hamiltonian constraint.For the quantum theory, we apply techniques…
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