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arXiv · hep-th/9806103

D-Instanton in AdS_5 and Instanton in SYM_4

Chong-Sun Chu·Pei-Ming Ho·Yi-Yen Wu
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Abstract

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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Chong-Sun Chu, Pei-Ming Ho, Yi-Yen Wu. 1998-06-15. D-Instanton in AdS_5 and Instanton in SYM_4. https://doi.org/10.1016/s0550-3213(98)00802-5

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