Killing spinors and Supersymmetry on AdS

Details Killing spinors and Supersymmetry on AdS Killing spinors and Supersymmetry on AdS

1999-02-19

arxiv.org/abs/hep-th/9902129v1

Nucl.Phys. B554 (1999) 198-214

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX 2e, 19 pages, no figures

Scientific paper

10.1016/S0550-3213(99)00310-7

In this paper we construct several supersymmetric theories, including SU(N) gauge theory, on AdS_5 background. We discuss the proper definition of the Killing equation for the symplectic Majorana spinors required in AdS_5 supersymmetric theories. We find that the symplectic Killing spinor equation involves a matrix M in the USp(2N) indices whose role was not recognized previously. Using the correct Killing spinors we explicitly confirm that the particle masses in the constructed theories agree with the predictions of the AdS/CFT correspondence. Finally, we establish correct O(d-1,2) isometry transformations required to keep the Lagrangian invariant on AdS_d.

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