Central Charges and Extra Dimensions in Supersymmetric Quantum Mechanics

Details Central Charges and Extra Dimensions in Supersymmetric Quantum Mechanics Central Charges and Extra Dimensions in Supersymmetric Quantum Mechanics

2004-06-18

arxiv.org/abs/hep-th/0406152v2

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, LaTeX, references and commentary added

Scientific paper

We systematically include central charges into supersymmetric quantum mechanics formulated on curved Euclidean spaces, and explain how the background geometry manifests itself on states of the theory. In particular, we show in detail how, from the point of view of non-relativistic d=1 world-line physics, one can infer the existence of target space dualities typically associated with string theory. We also explain in detail how the presence of a non-trivial supersymmetry central charge restricts the background geometry in which a particle may propagate.

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