Instanton-induced Yang-Mills correlation functions at large N and their AdS_5xS^5 duals

Abstract

Correlation functions of chiral primary operators and their superconformal descendants in the N=4 supersymmetric SU(N) Yang-Mills theory are studied in detail in a one-instanton background and at large N. Whereas earlier calculations were restricted to correlation functions that are saturated by the 16 exact superconformal fermionic moduli, here the effect of the set of additional fermionic moduli associated with the embeddings of the SU(2) instanton in SU(N) is considered. The presence of the extra fermionic modes is essential for matching Yang-Mills instanton effects in various correlation functions with D-instanton effects in type IIB string theory via the AdS/CFT conjecture. The leading terms of this kind on the string side contribute at order 1/(alpha'), which is the same order as the R^4 interaction. For example, the instanton contributions to correlation functions of higher dimensional chiral primary operators are seen to match amplitudes involving Kaluza-Klein excitations of the supergravity fields, as expected. Another example is the matching of certain multi-fermion correlation functions which correspond to certain multi-fermion interactions required by supersymmetry of the IIB string effective action. Careful analysis of a variety of competing effects makes it possible to decipher contributions corresponding to higher derivative interactions in the IIB effective action. In this manner it is possible to check for the presence of terms of order alpha'. Comments are also made on the structure of instanton contributions to near-extremal correlation functions of chiral primary operators.

LaTeX, 84 pages, 12 eps figures

References in corpus (5)

• The Calculus of Many Instantons
• Classical gauge instantons from open strings
• The D-instanton and other supersymmetric D-branes in IIB plane-wave string theory
• Four-point functions in N=4 SYM
• The ${\hat{G}}^4{\lambda }^{16}$ Term in IIB Supergravity

Cited by in corpus (26)

• On the spectrum of AdS/CFT beyond supergravity
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• Lectures on instantons
• Four-point correlators with higher weight superconformal primaries in the AdS/CFT Correspondence
• Non-Extremal D-instantons and the AdS/CFT Correspondence
• Maximal $U(1{)}_Y$-violating $n$-point correlators in $\mathcal{N}=4$ super-Yang-Mills theory
• Surprises from the Resolution of Operator Mixing in N = 4 SYM
• Higher Spins and Stringy AdS5xS5
• The SAGEX Review on Scattering Amplitudes, Chapter 10: Selected topics on modular covariance of type IIB string amplitudes and their $\mathcal{N}=4$ supersymmetric Yang-Mills duals
• On instanton contributions to anomalous dimensions in N=4 supersymmetric Yang-Mills theory
• Non-perturbative contributions to the plane-wave string mass matrix
• Some Systematics of the Coupling Constant Dependence of N=4 Yang-Mills
• Revisiting instanton corrections to the Konishi multiplet
• Instanton test of non-supersymmetric deformations of the AdS_5 x S^5
• Instanton Calculations in the beta-deformed AdS/CFT Correspondence
• A Curious Truncation of N=4 Yang-Mills
• Gauge-invariant correlation functions in light-cone superspace
• Instantons from geodesics in AdS moduli spaces
• The holographic dual to supergravity instantons in $\mathrm{Ad}{\mathrm{S}}_5\times {\mathrm{S}}^5/{\mathbb{Z}}_{\mathrm{k}}$
• Non-perturbative effects in the BMN limit of N=4 supersymmetric Yang-Mills
• Instanton corrections to twist-two operators
• Simplifying instanton corrections to N=4 SYM correlators
• Mixing of the RR and NSNS sectors in the BMN limit
• Exact expressions for $n$-point maximal $U(1{)}_Y$-violating integrated correlators in $SU(N)$ $\mathcal{N}=4$ SYM