The 0-brane action in a general D=4 supergravity background

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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29 pages, LaTex; v2 and v3: twice reference added and typos corrected; v4: typos corrected for final version in Class.Quantum

Scientific paper

10.1088/0264-9381/16/7/313

We begin by presenting the superparticle action in the background of N=2, D=4 supergravity coupled to n vector multiplets interacting via an arbitrary special Kahler geometry. Our construction is based on implementing kappa-supersymmetry. In particular, our result can be interpreted as the source term for N=2 BPS black holes with a finite horizon area. When the vector multiplets can be associated to the complex structure moduli of a Calabi-Yau manifold, then our 0-brane action can be derived by wrapping 3-branes around 3-cycles of the 3-fold. Our result can be extended to the case of higher supersymmetry; we explicitly construct the kappa supersymmetric action for a superparticle moving in an arbitrary N=8 supergravity background with 1/2, 1/4 or 1/8 residual supersymmetry.

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