A Construction of Killing Spinors on Sn
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 AdS5 x S5$, AdS4 x S7 and AdS7 x S4. In addition, we extend previous results to obtain the Killing spinors on the hyperbolic spaces Hn.
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