# On the implementation of the canonical quantum simplicity constraint

@article{Bodendorfer2013OnTI, title={On the implementation of the canonical quantum simplicity constraint}, author={Norbert Bodendorfer and Thomas Thiemann and A. Thurn}, journal={Classical and Quantum Gravity}, year={2013}, volume={30} }

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 supergravity developed in our companion papers. Since the canonical quadratic simplicity constraint operators have been shown to be anomalous in any dimension D ⩾ 3 in Class. Quantum Grav. 30 045003, non-standard methods have to be employed to avoid inconsistencies in the quantum theory. We show that one…

## 35 Citations

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