Tracing the String: BMN correspondence at Finite J^2/N

Abstract

Employing the string bit formalism of hep-th/0209215, we identify the basis transformation that relates BMN operators in N=4 gauge theory to string states in the dual string field theory at finite g_2=J^2/N. In this basis, the supercharge truncates at linear order in g_2, and the mixing amplitude between 1 and 2-string states precisely matches with the (corrected) answer of hep-th/0206073 for the 3-string amplitude in light-cone string field theory. Supersymmetry then predicts the order g_2^2 contact term in the string bit Hamiltonian. The resulting leading order mass renormalization of string states agrees with the recently computed shift in conformal dimension of BMN operators in the gauge theory.

11 pages, 1 figure

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Cited by in corpus (48)

• The Bethe-Ansatz for N=4 Super Yang-Mills
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Stringing Spins and Spinning Strings
• Lectures on the Plane-Wave String/Gauge Theory Duality
• A Calculation of the plane wave string Hamiltonian from N=4 super-Yang-Mills theory
• String interactions in gravitational wave backgrounds
• Explicit Formulas for Neumann Coefficients in the Plane-Wave Geometry
• Spacetime in String Theory
• Vector operators in the BMN correspondence
• Strings in plane wave backgrounds
• A Secret Symmetry of the AdS/CFT S-matrix
• A Pendant for Polya: The One-Loop Partition Function of N=4 SYM on R x S^3
• On light-cone SFT contact terms in a plane wave
• SYM Description of PP-wave String Interactions: Singlet Sector and Arbitrary Impurities
• The superstring Hagedorn temperature in a pp-wave background
• Derivation of String Field Theory from the Large N BMN Limit
• Conformal Dimensions of Two-Derivative BMN Operators
• An alternative formulation of light-cone string field theory on the plane wave
• Correspondence between the 3-point BMN correlators and the 3-string vertex on the pp-wave
• Note on Plane Wave Quantum Mechanics
• Open+Closed String Field Theory From Gauge Fields
• 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
• Covariant Description of D-branes in IIA Plane-Wave Background
• Holographic cubic vertex in the pp-wave
• Large N Spectrum of two Matrices in a Harmonic Potential and BMN energies
• BMN operators with three scalar impurites and the vertex--correlator duality in pp-wave
• BMN operators with vector impurities, Z_2 symmetry and pp-waves
• D-branes in PP-wave light cone string field theory
• New tests of the pp-wave correspondence
• Stable de Sitter vacua in N=2, D=5 supergravity
• Non-perturbative contributions to the plane-wave string mass matrix
• String bits without doubling
• Instability and Degeneracy in the BMN Correspondence
• AdS/CFT v.s. String Loops
• Matching three-point functions of BMN operators at weak and strong coupling
• Predictions for PP-wave string amplitudes from perturbative SYM
• Three-point functions of BMN operators at weak and strong coupling II. One loop matching
• Comments on Supersymmetry Algebra and Contact Term in Matrix String Theory
• Can string bits be supersymmetric?
• Non-perturbative effects in the BMN limit of N=4 supersymmetric Yang-Mills
• 1/2 BPS Correlator and Free Fermion
• Decay Modes of Unstable Strings in Plane-Wave String Field Theory
• Mixing of the RR and NSNS sectors in the BMN limit
• Four-Impurity Operators and String Field Theory Vertex in the BMN Correspondence
• Cubic interactions in the BMN limit of AdS(3) x S(3)
• An Algebraic Model for the su(2|2) Light-Cone String Field Theory