Operator Mixing and the BMN Correspondence

Abstract

In this note we update the discussion of the BMN correspondence and string interactions in hep-th/0205089 to incorporate the effects of operator mixing. We diagonalize the matrix of two point functions of single and double trace operators, and compute the eigen-operators and their anomalous dimensions to order g_2^2 λ'. Surprisingly, operators in different R symmetry multiplets remain degenerate at this order. We also calculate the corresponding energy shifts in string theory, and find a discrepancy with field theory results, indicating possible new effects in light-cone string field theory.

18pp. Harvmac. v2: Explanation of degeneracy added to end of section 2, minor corrections

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Cited by in corpus (106)

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• The su(2|3) Dynamic Spin Chain
• Stringing Spins and Spinning Strings
• Planar N=4 gauge theory and the Inozemtsev long range spin chain
• Quantizing String Theory in AdS_5 X S^5: Beyond the pp-Wave
• Gauge/string duality for QCD conformal operators
• Tailoring Three-Point Functions and Integrability
• Superstring Interactions in a pp-wave Background
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• Superstring Interactions in a pp-wave Background II
• BMN Gauge Theory as a Quantum Mechanical System
• Bits, Matrices and 1/N
• Plane-wave Matrix Theory from N=4 Super Yang-Mills on RxS^3
• Lectures on the Plane-Wave String/Gauge Theory Duality
• Three-Point Functions in N=4 SYM Theory at One-Loop
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• A Calculation of the plane wave string Hamiltonian from N=4 super-Yang-Mills theory
• BMN Operators and Superconformal Symmetry
• Tracing the String: BMN correspondence at Finite J^2/N
• Bit Strings from N=4 Gauge Theory
• Tailoring Three-Point Functions and Integrability II. Weak/strong coupling match
• String interactions in gravitational wave backgrounds
• Explicit Formulas for Neumann Coefficients in the Plane-Wave Geometry
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• The 3-string vertex and the AdS/CFT duality in the PP-wave limit
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• More on La Grande Bouffe: towards higher spin symmetry breaking in AdS
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• Strings in plane wave backgrounds
• Octagons I: Combinatorics and Non-Planar Resummations
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• Open Spinning Strings
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• On light-cone SFT contact terms in a plane wave
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• SYM Description of PP-wave String Interactions: Singlet Sector and Arbitrary Impurities
• Permutations and the Loop
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• Non-planar ABJM Theory and Integrability
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• An alternative formulation of light-cone string field theory on the plane wave
• Surprises from the Resolution of Operator Mixing in N = 4 SYM
• 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
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• Note on Plane Wave Quantum Mechanics
• Notes on Giant Gravitons on PP-waves
• 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
• Impurity Non-Preserving 3-Point Correlators of BMN Operators from PP-Wave Holography II : Fermionic Excitations
• Covariant Description of D-branes in IIA Plane-Wave Background
• Operator mixing and three-point functions in N=4 SYM
• BMN operators with three scalar impurites and the vertex--correlator duality in pp-wave
• Light-Cone String Field Theory in a Plane Wave Background
• String amplitudes in the Hpp-wave limit of AdS3xS3
• On two fermion BMN operators
• Strong Evidence In Favor OF The Existence Of S-Matrix For Strings In Plane Waves
• Impurity Non-Preserving 3-Point Correlators of BMN Operators from PP-Wave Holography I : Bosonic Excitations
• BMN operators with vector impurities, Z_2 symmetry and pp-waves
• Divergence Cancellation and Loop Corrections in String Field Theory on a Plane Wave Background
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• New tests of the pp-wave correspondence
• Operator Mixing and the AdS/CFT correspondence
• Instability and Degeneracy in the BMN Correspondence
• AdS/CFT v.s. String Loops
• Superstrings and D-branes in A Plane Wave
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• New aspects of the BMN correspondence beyond the planar limit
• Holography at string field theory level: Conformal three point functions of BMN operators
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• On the Uniqueness of Plane-wave String Field Theory
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• Decay Modes of Unstable Strings in Plane-Wave String Field Theory
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• Mixing of the RR and NSNS sectors in the BMN limit
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