On Operator Mixing in N=4 SYM

Abstract

We resolve the mixing of the scalar operators of naive dimension 4 belonging to the representation 20' of the SU(4) R-symmetry in N=4 SYM. We compute the order g^2 corrections to their anomalous dimensions and show the absence of instantonic contributions thereof. Ratios of the resulting expressions are irrational numbers, even in the large N limit where, however, we observe the expected decoupling of double-trace operators from single-trace ones. We briefly comment on the generalizations of our results required in order to make contact with the double scaling limit of the theory conjectured to be holographically dual to type IIB superstring on a pp-wave.

32 pages, 2 figures

References in corpus (20)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Type IIB Green-Schwarz superstring in plane wave Ramond-Ramond background
• Penrose limits and maximal supersymmetry
• A new maximally supersymmetric background of IIB superstring theory
• How to go with an RG Flow
• Superconformal Symmetry, Correlation Functions and the Operator Product Expansion
• Properties of the Konishi multiplet in N=4 SYM theory
• More exact predictions of SUSYM for string theory
• 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${}_4$
• A note on composite operators in N=4 SYM
• Conformal Field Theory for the Superstring in a Ramond-Ramond Plane Wave Background
• Instanton corrections to circular Wilson loops in N=4 Supersymmetric Yang-Mills
• Universal properties of superconformal OPEs for 1/2 BPS operators in $3\le D\le 6$
• Two Loops to Two Loops in N=4 Supersymmetric Yang-Mills Theory
• Superspace approach to anomalous dimensions in {\cal N}=4 SYM
• Limiting Geometries of Two Circular Maldacena-Wilson Loop Operators
• Superfield representations of superconformal groups
• (Non-)perturbative tests of the AdS/CFT correspondence

Cited by in corpus (63)

• The Bethe-Ansatz for N=4 Super Yang-Mills
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• The Complete One-Loop Dilatation Operator of N=4 Super Yang-Mills Theory
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• On Short and Semi-Short Representations for Four Dimensional Superconformal Symmetry
• On stringy AdS_5 x S^5 and higher spin holography
• Higher Spin Symmetry and N=4 SYM
• Tessellating cushions: four-point functions in N=4 SYM
• BMN Gauge Theory as a Quantum Mechanical System
• Unmixing Supergravity
• Lectures on the Plane-Wave String/Gauge Theory Duality
• A three-loop test of the dilatation operator in N=4 SYM
• Conformal Partial Wave Expansions for N=4 Chiral Four Point Functions
• On the spectrum of AdS/CFT beyond supergravity
• A Calculation of the plane wave string Hamiltonian from N=4 super-Yang-Mills theory
• BMN Operators and Superconformal Symmetry
• Bit Strings from N=4 Gauge Theory
• N=4 Superconformal Characters and Partition Functions
• All three-loop four-point correlators of half-BPS operators in planar N=4 SYM
• Conjectures for Large N Superconformal N=4 Chiral Primary Four Point Functions
• More on La Grande Bouffe: towards higher spin symmetry breaking in AdS
• The 3-string vertex and the AdS/CFT duality in the PP-wave limit
• Generalized bootstrap equations for N=4 SCFT
• Systematics of Quarter BPS operators in N=4 SYM
• Long-range SL(2) Baxter equation in N=4 super-Yang-Mills theory
• Four-point correlators of BPS operators in N=4 SYM at order g^4
• New results in the deformed N=4 SYM theory
• SYM Description of PP-wave String Interactions: Singlet Sector and Arbitrary Impurities
• Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
• Permutations and the Loop
• Spin bit models from non-planar N=4 SYM
• Surprises from the Resolution of Operator Mixing in N = 4 SYM
• Conformal Dimensions of Two-Derivative BMN Operators
• Non-holomorphic multi-matrix gauge invariant operators based on Brauer algebra
• Correspondence between the 3-point BMN correlators and the 3-string vertex on the pp-wave
• Quarter BPS classified by Brauer algebra
• The Duality between IIB String Theory on PP-wave and N=4 SYM: a Status Report
• Fermion BMN operators, the dilatation operator of N=4 SYM, and pp-wave string interactions
• On instanton contributions to anomalous dimensions in N=4 supersymmetric Yang-Mills theory
• String amplitudes in the Hpp-wave limit of AdS3xS3
• BMN operators with three scalar impurites and the vertex--correlator duality in pp-wave
• On two fermion BMN operators
• Anomalous dimensions of leading twist conformal operators
• Positive Energy Unitary Irreducible Representations of the Superalgebras osp(1|2n,R)
• BMN operators with vector impurities, Z_2 symmetry and pp-waves
• Operator Mixing and the AdS/CFT correspondence
• Divergence Cancellation and Loop Corrections in String Field Theory on a Plane Wave Background
• New tests of the pp-wave correspondence
• A wide class of four point functions of BPS operators in N=4 SYM at order g^4
• Instability and Degeneracy in the BMN Correspondence
• AdS/CFT v.s. String Loops
• Characters of the Positive Energy UIRs of D=4 Conformal Supersymmetry
• DLCQ String Spectrum from $\mathcal{N}=2$ SYM Theory
• A note on four-point correlators of half-BPS operators in N=4 SYM
• A Curious Truncation of N=4 Yang-Mills
• One-Loop Non-Planar Anomalous Dimensions in Super Yang-Mills Theory
• Negative anomalous dimensions in N=4 SYM
• Non-perturbative effects in the BMN limit of N=4 supersymmetric Yang-Mills
• Mixing of the RR and NSNS sectors in the BMN limit
• A note on three-point functions of unprotected operators
• Non-planar operator mixing by Brauer representations
• Rationality of the Anomalous Dimensions in N=4 SYM theory
• Two-point functions for N=4 Konishi-like operators