Instantons and Non-renormalisation in AdS/CFT

Details Instantons and Non-renormalisation in AdS/CFT Instantons and Non-renormalisation in AdS/CFT

1999-08-03

arxiv.org/abs/hep-th/9908020v2

JHEP 9912 (1999) 015

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, harvmac, minor typo corrected

Scientific paper

10.1088/1126-6708/1999/12/015

The series of perturbative fluctuations around a multi-instanton contribution to a specific class of correlation functions of supercurrents in $\cal N=4$ supersymmetric SU(N) Yang-Mills theory is examined in the light of the AdS/CFT correspondence. Subject to certain plausible assumptions, we argue that a given term in the 1/N expansion in such a background receives only a finite number of perturbative corrections in the 't Hooft limit. Such instanton non-renormalisation theorems would explain, for example, the exact agreement of certain weak coupling Yang-Mills instanton calculations with the strong coupling predictions arising from D-instanton effects in string theory amplitudes. These non-renormalisation theorems essentially follow from the assumption of a well defined derivative $(\alpha^{\prime})$ expansion in the string theory dual of the Yang-Mills theory.

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