Non-renormalisation of extremal correlators in N=4 SYM theory

Abstract

We show that extremal correlators of chiral primary operators in N=4 supersymmetric Yang-Mills theory with SU(N) gauge group are neither renormalised at first order in perturbation theory nor receive contribution from any instanton sector at leading order in the semiclassical expansion. This lends support to the strongest version of a new prediction recently put forward on the basis of the AdS/SCFT correspondence.

13 pages, LaTeX2e; definition of extremal correlators moved to the introduction, references added; final version to appear in Physics Letters B

Cited by in corpus (43)

• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• How to Succeed at Holographic Correlators Without Really Trying
• Superconformal Ward Identities and their Solution
• Partial non-renormalisation of the stress-tensor four-point function in N=4 SYM and AdS/CFT
• Anomalous dimensions in N=4 SYM theory at order g^4
• $20^{\prime }$ Five-Point Function from $Ad{S}_5\times S^5$ Supergravity
• Intersecting D3-branes and Holography
• Generalizations of the AdS/CFT correspondence
• Extremal Correlators and Hurwitz Numbers in Symmetric Product Orbifolds
• On Non-renormalization and OPE in Superconformal Field Theories
• Explicit construction of nilpotent covariants in N=4 SYM
• OPEs and 3-point correlators of protected operators in N=4 SYM
• Two-point functions of chiral operators in {\cal N}=4 SYM at order g^4
• On Superconformal Four-Point Mellin Amplitudes in Dimension $d>2$
• On Operator Mixing in N=4 SYM
• Extremal and next-to-extremal n-point correlators in four-dimensional SCFT
• Near-extremal correlators and vanishing supergravity couplings in AdS/CFT
• Implications of N=1 Superconformal Symmetry for Chiral Fields
• Semiclassical four-point functions in AdS_5 x S^5
• Systematics of Quarter BPS operators in N=4 SYM
• Single Particle Operators and their Correlators in Free $\mathcal{N}=4$ SYM
• Non-renormalization of next-to-extremal correlators in N=4 SYM and the AdS/CFT correspondence
• Three-Point Functions of Quarter BPS Operators in N=4 SYM
• Surprises from the Resolution of Operator Mixing in N = 4 SYM
• Superspace approach to anomalous dimensions in {\cal N}=4 SYM
• Higher Spins and Stringy AdS5xS5
• Instanton-induced Yang-Mills correlation functions at large N and their AdS_5xS^5 duals
• On Mellin Amplitudes in SCFTs with Eight Supercharges
• Multipoint correlators on the supersymmetric Wilson line defect CFT
• Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
• PP-wave string interactions from n-point correlators of BMN operators
• Emergent bubbling geometries in the plane wave matrix model
• Positivity of hexagon perturbation theory
• (Non-)perturbative tests of the AdS/CFT correspondence
• Aspects of the D=6, (2,0) Tensor Multiplet
• A wide class of four point functions of BPS operators in N=4 SYM at order g^4
• Dual expansions of N=4 super Yang-Mills theory via IIB superstring theory
• AdS/SCFT in Superspace
• Protected Operators in N=2,4 Supersymmetric Theories
• Broken current anomalous dimensions, conformal manifolds and RG flows
• Non-perturbative effects in the BMN limit of N=4 supersymmetric Yang-Mills
• Rationality of the Anomalous Dimensions in N=4 SYM theory