Yang-Mills Instantons in the Large-N Limit and the AdS/CFT Correspondence

Abstract

We examine a certain 16-fermion correlator in {\cal N}=4 supersymmetric SU(N) gauge theory in 4 dimensions. Generalizing recent SU(2) results of Bianchi, Green, Kovacs and Rossi, we calculate the exact N-dependence of the effective 16-fermion vertex at the 1-instanton level, and find precise agreement in the large-N limit with the prediction of the type IIB superstring on AdS_5 x S^5. This suggests that the string theory prediction for the 1-instanton amplitude considered here is not corrected by higher-order terms in the alpha' expansion.

12 pages, uses harvmac, a reference added

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Cited by in corpus (49)

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• Instanton operators and symmetry enhancement in 5d supersymmetric gauge theories
• Modular Invariance in Superstring Theory From $\mathcal{N}=4$ Super-Yang-Mills
• Interconnections between type II superstrings, M theory and N=4 supersymmetric Yang--Mills
• The $O(N)$ Model in $4<d<6$: Instantons and Complex CFTs
• A Note on Anomalies in the AdS/CFT Correspondence
• On a Large N Degeneracy in N=4 SYM and the AdS/CFT Correspondence
• Perturbative and instanton corrections to the OPE of CPOs in N=4 SYM_4
• Instantons in N=2 magnetized D-brane worlds
• Lectures on instantons
• Yang-Mills- and D-instantons
• Non-Extremal D-instantons and the AdS/CFT Correspondence
• String corrections to four point functions in the AdS/CFT correspondence
• Fluxed M5-instantons in F-theory
• Information geometry in quantum field theory: lessons from simple examples
• Instantons, Euclidean supersymmetry and Wick rotations
• Instanton-induced Yang-Mills correlation functions at large N and their AdS_5xS^5 duals
• N=4 supersymmetric Yang-Mills theory and the AdS/SCFT correspondence
• On instanton contributions to anomalous dimensions in N=4 supersymmetric Yang-Mills theory
• (Non-)perturbative tests of the AdS/CFT correspondence
• Instantons and Non-renormalisation in AdS/CFT
• Non-Commutative Instantons and the Information Metric
• D3 Brane(s) in AdS_5 x S^5 and N =4,2,1 SYM
• Revisiting instanton corrections to the Konishi multiplet
• Instantons, the Information Metric, and the AdS/CFT Correspondence
• Dual expansions of N=4 super Yang-Mills theory via IIB superstring theory
• A perturbative re-analysis of N=4 supersymmetric Yang--Mills theory
• Instanton test of non-supersymmetric deformations of the AdS_5 x S^5
• Instanton Calculations in the beta-deformed AdS/CFT Correspondence
• 3-Branes on Eguchi-Hanson 6D Instantons
• String theory dual of the beta-deformed gauge theory
• Gauge-invariant correlation functions in light-cone superspace
• A Curious Truncation of N=4 Yang-Mills
• Multi-Instanton Measure from Recursion Relations in N=2 Supersymmetric Yang-Mills Theory
• The holographic dual to supergravity instantons in $\mathrm{Ad}{\mathrm{S}}_5\times {\mathrm{S}}^5/{\mathbb{Z}}_{\mathrm{k}}$
• Instantons from geodesics in AdS moduli spaces
• Instanton effects in correlation functions on the light-cone
• Generalized instantons in N = 4 super Yang-Mills theory and spinorial geometry
• The Information Metric on the moduli space of instantons with global symmetries
• Instanton corrections to twist-two operators
• New instantons in the double-well potential
• On instanton effects in the operator product expansion
• Solitons on Branes
• Yang-Mills instantons vs. type IIB D-instantons
• Speculations on AdS/CFT at all orders in 1/N
• On interpolating anomalous dimension of twist-two operators with general spins