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

Hanno Hammer
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Abstract

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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Hanno Hammer. 1999-03-25. Spacetime Topology, Conserved Charges, and the Splitting of Classical Multiplets. https://arxiv.org/abs/math-ph/9903044

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