SYM Description of SFT Hamiltonian in a PP-Wave Background

Abstract

We compute string field theory Hamiltonian matrix elements and compare them with matrix elements of the dilatation operator in gauge theory. We get precise agreement between the string field theory and gauge theory computations once the correct cubic Hamiltonian matrix elements in string field theory and a particular basis of states in gauge theory are used. We proceed to compute the matrix elements of the dilatation operator to order g_2^2 in this same basis. This calculation makes a prediction for string field theory Hamiltonian matrix elements to order g_2^2, which have not yet been computed. However, our gauge theory results precisely match the results of the recent computation by Pearson et al. of the order g_2^2 Hamiltonian matrix elements of the string bit model.

17 pages, Latex. References corrected, clarifications added

References in corpus (6)

• PP-wave string interactions from perturbative Yang-Mills theory
• Operators with large R charge in N=4 Yang-Mills theory
• More comments on superstring interactions in the pp-wave background
• Three-point functions in N=4 Yang-Mills theory and pp-waves
• PP-wave/Yang-Mills Correspondence: An Explicit Check
• Comments on Superstring Interactions in a Plane-Wave Background

Cited by in corpus (25)

• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Resolving the Holography in the Plane-Wave Limit of AdS/CFT Correspondence
• A Secret Symmetry of the AdS/CFT S-matrix
• Open Spinning Strings
• On light-cone SFT contact terms in a plane wave
• Strings in Gravimagnetic Fields
• Fermion BMN operators, the dilatation operator of N=4 SYM, and pp-wave string interactions
• Impurity Non-Preserving 3-Point Correlators of BMN Operators from PP-Wave Holography II : Fermionic Excitations
• The Duality between IIB String Theory on PP-wave and N=4 SYM: a Status Report
• Holographic cubic vertex in the pp-wave
• Large N Spectrum of two Matrices in a Harmonic Potential and BMN energies
• Impurity Non-Preserving 3-Point Correlators of BMN Operators from PP-Wave Holography I : Bosonic Excitations
• New tests of the pp-wave correspondence
• Divergence Cancellation and Loop Corrections in String Field Theory on a Plane Wave Background
• AdS/CFT v.s. String Loops
• Superstring in the plane-wave background with RR flux as a conformal field theory
• Decay widths of three-impurity states in the BMN correspondence
• Comments on Supersymmetry Algebra and Contact Term in Matrix String Theory
• Decay Modes of Unstable Strings in Plane-Wave String Field Theory
• On membrane interactions and a three-dimensional analog of Riemann surfaces
• Four-Impurity Operators and String Field Theory Vertex in the BMN Correspondence
• Local Commutativity and Causality in Interacting PP-wave String Field Theory
• 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
• Causality in String Field Theory