# New variables for classical and quantum gravity in all dimensions: I. Hamiltonian analysis

@article{Bodendorfer2013NewVF,
title={New variables for classical and quantum gravity in all dimensions: I. Hamiltonian analysis},
author={Norbert Bodendorfer and Thomas Thiemann and A. Thurn},
journal={Classical and Quantum Gravity},
year={2013},
volume={30}
}
• Published 18 May 2011
• Physics
• Classical and Quantum Gravity
Loop quantum gravity (LQG) relies heavily on a connection formulation of general relativity such that (1) the connection Poisson commutes with itself and (2) the corresponding gauge group is compact. This can be achieved starting from the Palatini or Holst action when imposing the time gauge. Unfortunately, this method is restricted to D + 1 = 4 spacetime dimensions. However, interesting string theories and supergravity theories require higher dimensions and it would therefore be desirable to…
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### New variables for classical and quantum gravity in all dimensions: IV. Matter coupling

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### Towards loop quantum supergravity (LQSG): I. Rarita–Schwinger sector

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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

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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

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