Jena 2013 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 7: Quanten+Gravitation 1

MP 7.1: Vortrag

Mittwoch, 27. Februar 2013, 14:45–15:10, HS 8

Invariant Connections and Symmetry Reduction in Loop Quantum Gravity — •Maximilian Hanusch — Univ. Paderborn

The notion of invariant connections on principal fibre bundles plays a crucial role for symmetry reduction in particular in the framework of loop quantum gravity. Usually symmetries are represented by Lie groups of automorphisms of the underlying bundle. The corresponding invariant connections then provide a starting point for the construction of a reduced quantum configuration space. In this talk we will introduce a rather algebraic characterization of such connections that often allows for explicit calculations. We apply this result to the isotropic connections to be used in loop quantum cosmology. If time permits, we will highlight an alternative way to define a reduced quantum configuration space.