D-Instanton in AdS_5 and Instanton in SYM_4

Details D-Instanton in AdS_5 and Instanton in SYM_4 D-Instanton in AdS_5 and Instanton in SYM_4

1998-06-12

arxiv.org/abs/hep-th/9806103v2

Nucl.Phys. B541 (1999) 179-194

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 19 pages, no figure, some typos corrected

Scientific paper

10.1016/S0550-3213(98)00802-5

Following the observation of Banks and Green that the D-instantons in AdS_5 correspond to the instantons in 4-dimensional supersymmetric Yang-Mills theory, we study in more detail this correspondence for individual instantons. The supergravity solution for a D-instanton in AdS_5 is found using the ansatz used previously for D-instantons in flat space. We check that the actions and supersymmetries match between the D-instanton solution and the Yang-Mills instanton. Generalizing this result, we propose that any supergravity solution satisfying the ansatz corresponds to a (anti-)self-dual Yang-Mills configuration. Using this ansatz a family of identities for correlation functions in the supersymmetric Yang-Mills theory are derived.

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