Instanton Calculations in the beta-deformed AdS/CFT Correspondence

Abstract

We consider non-perturbative effects in the beta-deformed N=4 supersymmetric gauge theory in the context of the AdS/CFT correspondence. We concentrate on the correlators of the Yang-Mills operators which correspond to the lowest Kaluza-Klein modes propagating on the dual supergravity background found by Lunin and Maldacena in hep-th/0502086. In particular, we calculate all multi-instanton contributions to these correlators in the beta-deformed SYM and find a compelling agreement with the results expected in supergravity.

v3: more detailed treatment of complex beta-deformations, 37 pages

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Cited by in corpus (14)

• Magnons, Classical Strings and beta-Deformations
• Integrable twists in AdS/CFT
• Proof of all-order finiteness for planar beta-deformed Yang-Mills
• On the perturbative chiral ring for marginally deformed N=4 SYM theories
• Conformal invariance of the planar beta-deformed N=4 SYM theory requires beta real
• Examples of Emergent Type IIB Backgrounds from Matrices
• Instantons and Emergent AdS_3 x S^3 Geometry
• Semi-classical Strings in Sasaki-Einstein Manifolds
• Instanton test of non-supersymmetric deformations of the AdS_5 x S^5
• String theory dual of the beta-deformed gauge theory
• Studies of low-energy effective actions in supersymmetric field theories
• Giant Gravitons in the Schrodinger holography
• Generalised cusp anomalous dimension in beta-deformed super Yang Mills theory
• Two loop Kahler potential in beta-deformed N=4 SYM theory