A construction of killing spinors on S-n

Citation
H. Lu et al., A construction of killing spinors on S-n, J MATH PHYS, 40(9), 1999, pp. 4518-4526
Citations number
5
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
40
Issue
9
Year of publication
1999
Pages
4518 - 4526
Database
ISI
SICI code
0022-2488(199909)40:9<4518:ACOKSO>2.0.ZU;2-X
Abstract
We derive simple general expressions for the explicit Killing spinors on th e n-sphere, for arbitrary n. Using these results we also construct the Kill ing spinors on various AdSxSphere supergravity backgrounds, including AdS(5 )xS(5), AdS(4)xS(7), and AdS(7)xS(4). In addition, we extend previous resul ts to obtain the Killing spinors on the hyperbolic spaces H-n. (C) 1999 Ame rican Institute of Physics. [S0022-2488(99)00309-6].