# 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 A. Thurn},
journal={Classical and Quantum Gravity},
year={2013},
volume={30}
}
• 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…
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## References

SHOWING 1-10 OF 103 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
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
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
The LQG string—loop quantum gravity quantization of string theory: I. Flat target space
We combine (i) background-independent loop quantum gravity (LQG) quantization techniques, (ii) the mathematically rigorous framework of algebraic quantum field theory (AQFT) and (iii) the theory of
Quantum spin dynamics (QSD) V: Quantum Gravity as the natural regulator of the Hamiltonian constraint of matter quantum field theories
It is an old speculation in physics that, once the gravitational field is successfully quantized, it should serve as the natural regulator of infrared and ultraviolet singularities that plague
Kinematical Hilbert Spaces for Fermionic and Higgs Quantum Field Theories
We extend the recently developed kinematical framework for diffeomorphism-invariant theories of connections for compact gauge groups to the case of a diffeomorphism-invariant quantum field theory