# New Variables for Classical and Quantum Gravity in all Dimensions II. Lagrangian Analysis

@article{Bodendorfer2011NewVF, title={New Variables for Classical and Quantum Gravity in all Dimensions II. Lagrangian Analysis}, author={Norbert Bodendorfer and Thomas Thiemann and Andreas Thurn}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2011} }

We rederive the results of our companion paper, for matching spacetime and internal signature, by applying in detail the Dirac algorithm to the Palatini action. While the constraint set of the Palatini action contains second class constraints, by an appeal to the method of gauge unfixing, we map the second class system to an equivalent first class system which turns out to be identical to the first class constraint system obtained via the extension of the ADM phase space performed in our…

## 45 Citations

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We rederive the results of our companion paper, for matching space–time and internal signature, by applying in detail the Dirac algorithm to the Palatini action. While the constraint set of the…

On the Implementation of the Canonical Quantum Simplicity Constraint

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In this paper, we discuss several approaches to solve the quadratic and linear simplicity constraints in the context of the canonical formulations of higher dimensional general relativity and…

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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…

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