Spacetime Topology, Conserved Charges, and the Splitting of Classical Multiplets

Details Spacetime Topology, Conserved Charges, and the Splitting of Classical Multiplets Spacetime Topology, Conserved Charges, and the Splitting of Classical Multiplets

1999-03-25

arxiv.org/abs/math-ph/9903044v1

Physics

Mathematical Physics

PhD. Thesis, University of Cambridge, DAMTP. 147 pages. Requires amsthm,amsxtra,amsfonts,amssymb,latexsym

Scientific paper

We examine consequences of non-trivial topology in background spacetimes and super-spacetimes: It is shown how the semi-invariance of a brane Lagrangian under supertranslations gives rise to topological extensions of the Noether charge algebra carried by D-branes. We investigate how isometry groups of lightlike compactified spacetimes admit an extension to a semigroup. It is shown how the splitting of classical multiplets caused by multiply-connectedness of a phase space can be described in the framework of Symplectic Geometry, based on the concept of symplectic covering spaces and local moment maps.

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