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Super Cartan geometry and the super Ashtekar connection

- K. Eder
- Physics
- 19 October 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… Expand

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

- K. Eder, H. Sahlmann
- PhysicsJournal of High Energy Physics
- 5 April 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… Expand

Quantum theory of charged isolated horizons

- K. Eder, H. Sahlmann
- Physics
- 2 January 2018

We describe the quantum theory of isolated horizons with electromagnetic or non-Abelian gauge charges in a setting in which both the gauge and gravitational field are quantized. We consider the… Expand

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

- K. Eder, H. Sahlmann
- Physics
- 30 October 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… Expand

Supersymmetric minisuperspace models in self-dual loop quantum cosmology

- K. Eder, H. Sahlmann
- Physics, MathematicsJournal of High Energy Physics
- 1 March 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… Expand

Super fiber bundles, connection forms, and parallel transport

- K. Eder
- Mathematics, Physics
- 4 January 2021

The present work provides a mathematically rigorous account on super fiber bundle theory, connection forms and their parallel transport, that ties together various approaches. We begin with a… Expand

J an 2 01 8 Quantum theory of charged isolated horizons

- K. Eder, H. Sahlmann
- Physics
- 2018

We describe the quantum theory of isolated horizons with electromagnetic or non-Abelian gauge charges in a setting in which both gauge and gravitational field are quantized. We consider the distorted… Expand

Toward black hole entropy in chiral loop quantum supergravity

- K. Eder, H. Sahlmann
- PhysicsPhysical Review D
- 4 April 2022

Recently, many geometric aspects of N -extended AdS supergravity in chiral variables have been encountered and clariﬁed. In particular, if the theory is supposed to be invariant under SUSY… Expand

Supersymmetric minisuperspace models in loop quantum cosmology

- K. Eder, H. Sahlmann
- Physics, Mathematics
- 29 October 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… Expand

Chiral loop quantum supergravity and black hole entropy

- K. Eder, H. Sahlmann
- Physics
- 4 August 2022

Recent work has shown that local supersymmetry on a spacetime boundary in N -extended AdS supergravity in chiral variables implies coupling to a boundary OSp( N| 2) C super Chern-Simons theory. We… Expand