A Construction of Killing Spinors on S^n
H. Lu, C.N. Pope, and J. Rahmfeld
TL;DR
This paper provides explicit formulas for Killing spinors on n-spheres and hyperbolic spaces, and constructs Killing spinors on key supergravity backgrounds, facilitating studies in string theory and supergravity.
Contribution
It introduces simple general expressions for Killing spinors on spheres and hyperbolic spaces, and constructs them on important AdS x Sphere backgrounds, extending previous results.
Findings
Explicit Killing spinors on S^n derived
Killing spinors constructed on AdS x S backgrounds
Extended results to hyperbolic spaces H^n
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.
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