Properties of the Konishi multiplet in N=4 SYM theory

Abstract

We study perturbative and non-perturbative properties of the Konishi multiplet in N=4 SYM theory in D=4 dimensions. We compute two-, three- and four-point Green functions with single and multiple insertions of the lowest component of the multiplet, and of the lowest component of the supercurrent multiplet. These computations require a proper definition of the renormalized operator and lead to an independent derivation of its anomalous dimension. The O(g^2) value found in this way is in agreement with previous results. We also find that instanton contributions to the above correlators vanish. From our results we are able to identify some of the lowest dimensional gauge-invariant composite operators contributing to the OPE of the correlation functions we have computed. We thus confirm the existence of an operator belonging to the representation 20', which has vanishing anomalous dimension at order g^2 and g^4 in perturbation theory as well as at the non-perturbative level, despite the fact that it does not obey any of the known shortening conditions.

23 pages, latex, no figures

Cited by in corpus (85)

• An Index for 4 dimensional Super Conformal Theories
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• On Short and Semi-Short Representations for Four Dimensional Superconformal Symmetry
• The N=4 Superconformal Bootstrap
• Superconformal Symmetry, Correlation Functions and the Operator Product Expansion
• On stringy AdS_5 x S^5 and higher spin holography
• Exact AdS/CFT spectrum: Konishi dimension at any coupling
• Superconformal Ward Identities and their Solution
• The super-correlator/super-amplitude duality: Part I
• From correlation functions to scattering amplitudes
• $20^{\prime }$ Five-Point Function from $Ad{S}_5\times S^5$ Supergravity
• Higher Spin Symmetry and N=4 SYM
• Tessellating cushions: four-point functions in N=4 SYM
• On correlation functions of operators dual to classical spinning string states
• Perturbative Search for Fixed Lines in Large N Gauge Theories
• A three-loop test of the dilatation operator in N=4 SYM
• Three-Point Functions in N=4 SYM Theory at One-Loop
• Conformal Bootstrap With Slightly Broken Higher Spin Symmetry
• Structure constants of planar N =4 Yang Mills at one loop
• On the spectrum of AdS/CFT beyond supergravity
• On semiclassical computation of 3-point functions of closed string vertex operators in AdS_5 x S^5
• Quantum strings in AdS_5 x S^5: strong-coupling corrections to dimension of Konishi operator
• BMN Operators and Superconformal Symmetry
• Quarter BPS Operators in N=4 SYM
• On Non-renormalization and OPE in Superconformal Field Theories
• OPEs and 3-point correlators of protected operators in N=4 SYM
• On the OPE of 1/2 BPS Short Operators in N=4 SCFT${}_4$
• Two and three-point correlators of operators dual to folded string solutions at strong coupling
• Semiclassical string computation of strong-coupling corrections to dimensions of operators in Konishi multiplet
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• On Operator Mixing in N=4 SYM
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• More on La Grande Bouffe: towards higher spin symmetry breaking in AdS
• A note on composite operators in N=4 SYM
• Non-protected operators in N=4 SYM and multiparticle states of AdS_5 SUGRA
• Implications of Superconformal Symmetry for Interacting (2,0) Tensor Multiplets
• Instanton corrections to circular Wilson loops in N=4 Supersymmetric Yang-Mills
• Polarized DIS in N=4 SYM: Where is spin at strong coupling?
• SL(2) sector: weak/strong coupling agreement of three-point correlators
• Three-Point Functions of Quarter BPS Operators in N=4 SYM
• The SU(2|3) dynamic two-loop form factors
• Universal properties of superconformal OPEs for 1/2 BPS operators in $3\le D\le 6$
• Three-point functions in planar N=4 super Yang-Mills Theory for scalar operators up to length five at the one-loop order
• Resummation and S-duality in N=4 SYM
• On non-supersymmetric conformal manifolds: field theory and holography
• Surprises from the Resolution of Operator Mixing in N = 4 SYM
• Superspace approach to anomalous dimensions in {\cal N}=4 SYM
• Instanton-induced Yang-Mills correlation functions at large N and their AdS_5xS^5 duals
• Higher Spins and Stringy AdS5xS5
• Inverse Bootstrapping Conformal Field Theories
• Operator mixing in N=4 SYM: The Konishi anomaly revisited
• Globally conformal invariant gauge field theory with rational correlation functions
• Superspace calculation of the three-loop dilatation operator of N=4 SYM theory
• On instanton contributions to anomalous dimensions in N=4 supersymmetric Yang-Mills theory
• Operator mixing and three-point functions in N=4 SYM
• On two fermion BMN operators
• Higher spin symmetry (breaking) in N=4 SYM theory and holography
• Superconformal Invariants or How to Relate Four-point AdS Amplitudes
• (Non-)perturbative tests of the AdS/CFT correspondence
• Three-Point Functions of Twist-Two Operators in N=4 SYM at One Loop
• N=2 Moduli of AdS4 vacua: A fine-print study
• Holographic three-point functions: one step beyond the tradition
• A wide class of four point functions of BPS operators in N=4 SYM at order g^4
• Boundary multi-trace deformations and OPEs in AdS/CFT correspondence
• Precision Spectroscopy and Higher Spin symmetry in the ABJM model
• Perturbative Four-Point Functions from the Analytic Conformal Bootstrap
• Quantum strings in AdS5 x S5 and AdS/CFT duality
• Revisiting instanton corrections to the Konishi multiplet
• Characters of the Positive Energy UIRs of D=4 Conformal Supersymmetry
• Higher-Point Integrands in N=4 super Yang-Mills Theory
• AdS/SCFT in Superspace
• A Curious Truncation of N=4 Yang-Mills
• Gauge-invariant correlation functions in light-cone superspace
• Review of AdS/CFT Integrability, Chapter I.2: The spectrum from perturbative gauge theory
• Non-perturbative effects in the BMN limit of N=4 supersymmetric Yang-Mills
• Instanton effects in correlation functions on the light-cone
• Simplifying instanton corrections to N=4 SYM correlators
• Instanton corrections to twist-two operators
• A note on three-point functions of unprotected operators
• S-duality invariant perturbation theory improved by holography
• Group-Theoretical Classification of BPS and Possibly Protected States in D=4 Conformal Supersymmetry
• SL(2,Z) Multiplets in N=4 SYM Theory
• A note on the perturbative properties of BPS operators
• Rationality of the Anomalous Dimensions in N=4 SYM theory
• Group-Theoretical Classification of BPS States in D=4 Conformal Supersymmetry: the Case of (1/N)-BPS