# Towards Loop Quantum Supergravity (LQSG) I. Rarita-Schwinger Sector

@article{Bodendorfer2013TowardsLQ,
title={Towards Loop Quantum Supergravity (LQSG) I. Rarita-Schwinger Sector},
author={Norbert Bodendorfer and Thomas Thiemann and Andreas Thurn},
journal={Classical and Quantum Gravity},
year={2013},
volume={30},
pages={045006}
}
• Published 18 May 2011
• Mathematics, Physics
• Classical and Quantum Gravity
In our companion papers, we managed to derive a connection formulation of Lorentzian general relativity in D + 1 dimensions with compact gauge group SO(D + 1) such that the connection is Poisson-commuting, which implies that loop quantum gravity quantization methods apply. We also provided the coupling to standard matter. In this paper, we extend our methods to derive a connection formulation of a large class of Lorentzian signature supergravity theories, in particular 11 D SUGRA and 4 D, N = 8…

## Tables from this paper

Towards Loop Quantum Supergravity (LQSG) II. p-Form Sector
• Physics
• 2013
In our companion paper, we focused on the quantization of the Rarita–Schwinger sector of supergravity theories in various dimensions by using an extension of loop quantum gravity to all spacetime
Supersymmetric minisuperspace models in self-dual loop quantum cosmology
• Physics, Mathematics
Journal 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
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
Higher dimensional and supersymmetric extensions of loop quantum gravity
In this work, we extend loop quantum gravity (LQG) both, to higher dimensions and supersymmetry (i.e. supergravity theories), thus overcoming the current limitation to 3+1 dimensions with standard
New variables for classical and quantum gravity in all dimensions: IV. Matter coupling
• Physics
• 2013
We employ the techniques introduced in the companion papers [1, 2, 3] to derive a connection formulation of Lorentzian General Relativity coupled to Dirac fermions in dimensions D + 1 ≥ 3 with
N=1 Supergravity with loop quantum gravity methods and quantization of the SUSY constraint
• Physics
• 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
A note on quantum supergravity and AdS/CFT
We note that the non-perturbative quantisation of supergravity as recently investigated using loop quantum gravity techniques provides an opportunity to probe an interesting sector of the AdS/CFT
J un 2 01 1 Towards Loop Quantum Supergravity ( LQSG )
• Physics
• 2011
Should nature be supersymmetric, then it will be described by Quantum Supergravity at least in some energy regimes. The currently most advanced description of Quantum Supergravity and beyond is
Towards black hole entropy in chiral loop quantum supergravity
• Physics
• 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

## References

SHOWING 1-10 OF 105 REFERENCES
Towards Loop Quantum Supergravity (LQSG) II. p-Form Sector
• Physics
• 2013
In our companion paper, we focused on the quantization of the Rarita–Schwinger sector of supergravity theories in various dimensions by using an extension of loop quantum gravity to all spacetime
New variables for classical and quantum gravity in all dimensions: IV. Matter coupling
• Physics
• 2013
We employ the techniques introduced in the companion papers [1, 2, 3] to derive a connection formulation of Lorentzian General Relativity coupled to Dirac fermions in dimensions D + 1 ≥ 3 with
SU(2) loop quantum gravity seen from covariant theory
• Physics
• 2003
Covariant loop gravity comes out of the canonical analysis of the Palatini action and the use of the Dirac brackets arising from dealing with the second class constraints (“simplicity” constraints).
New variables for classical and quantum (super)-gravity in all dimensions
• Physics
• 2013
Supergravity was originally introduced in the hope of finding a theory of gravity without the shortcoming of perturbative non-renormalisability. Although this goal does not seem to have been reached
Canonical Quantum Supergravity in Three Dimensions
• Physics
• 1994
We discuss the canonical treatment and quantization of matter coupled supergravity in three dimensions, with special emphasis on N = 2 supergravity. We then analyze the quantum constraint algebra;
Non-renormalisation conditions in type II string theory and maximal supergravity
• Physics
• 2007
This paper considers general features of the derivative expansion of Feynman diagram contributions to the four-graviton scattering amplitude in eleven-dimensional supergravity compactified on a
Gauge field theory coherent states (GCS): IV. Infinite tensor product and thermodynamical limit
• Mathematics, Physics
• 2001
In the canonical approach to Lorentzian quantum general relativity in four spacetime dimensions an important step forward has been made by Ashtekar, Isham and Lewandowski some eight years ago through