Bremen 2017 – scientific programme

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 11: AdS/CFT III and Quantum Gravity

MP 11.4: Talk

Thursday, March 16, 2017, 10:05–10:25, SFG 2010

Shape Dynamics in Loops from a Conformal Barbero-Immirzi Parameter — •Patrick Wong — Universität zu Köln, Cologne, Germany

The Barbero-Immirzi parameter of loop quantum gravity is a one parameter ambiguity of the theory whose interpretation is not universally agreed upon. It is an inherent characteristic of the quantum theory as it appears in the spectra of geometric operators. An interesting realization is that promoting the Barbero-Immirzi parameter to play the role of a conformal transformation leads to a system which can be identified as analogous to the linking theory of shape dynamics. A three-dimensional gravitational gauge connection is then constructed within the linking theory in a manner analogous to loop quantum gravity, thereby facilitating the application of the established procedure of loop quantization to a shape dynamical theory.