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×Sphere supergravity backgrounds, including AdS 5 ×S 5 , AdS 4 ×S 7 , and AdS 7 ×S 4 . In addition, we extend previous results to obtain the Killing spinors on the hyperbolic spaces H n .
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