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A Construction of Killing Spinors on S^n

arXiv:hep-th/9805151 · doi:10.1063/1.532983

Abstract

We derive simple general expressions for the explicit Killing spinors on the n-sphere, for arbitrary n. Using these results we also construct the Killing spinors on various AdS x Sphere supergravity backgrounds, including AdS_5 x S^5$, AdS_4 x S^7 and AdS_7 x S^4. In addition, we extend previous results to obtain the Killing spinors on the hyperbolic spaces H^n.

11 pages, LaTeX