Projective Statistics in Quantum Gravity Speaker(s): Rafael Sorkin
Abstract: To the extent that spacetime remains a manifold M on small scales, excitations of the spatial topology can function as particles called topological geons. In a first quantized theory of topological geons (aka continuum quantum gravity without topology change), different irreducible unitary representations of the mappingclass group G of M, yield different superselection sectors of the theory. In some of these sectors the geons behave as fermions, even though gravitons themselves are of course bosons. A still more exotic possibility is "projective statistics", where the operators that permute identical geons only preserve group multiplication up to a phasefactor that cannot be eliminated. (Such a representation must be nonabelian.) I will describe a simple example of this phenomenon with four RP^3 geons.
Date: 22/05/2014  3:30 pm
Collection: Quantum Gravity Day 2014
