Instantons and non-renormalisation in AdS/CFT

Gopakumar, Rajesh ; Green, Michael B. (1999) Instantons and non-renormalisation in AdS/CFT Journal of High Energy Physics, 1999 (12). 015_1-015_15. ISSN 1126-6708

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The series of perturbative fluctuations around a multi-instanton contribution to a specific class of correlation functions of supercurrents in 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 (α') expansion in the string theory dual of the Yang-Mills theory.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics Publishing.
Keywords:Nonperturbative Effects; 1/N Expansion; String Duality; D-branes
ID Code:22498
Deposited On:24 Nov 2010 08:29
Last Modified:17 May 2016 06:32

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