SYM Description of PP-wave String Interactions: Singlet Sector and Arbitrary Impurities

Abstract

We study string interactions among string states with arbitrary impurities in the Type IIB plane wave background using string field theory. We reproduce all string amplitudes from gauge theory by computing matrix elements of the dilatation operator in a previously proposed basis of states. A direct correspondence is found between the string field theory and gauge theory Feynman diagrams.

51 pages, 8 figures. Some clarifications added, minor typos corrected

References in corpus (9)

• The Bethe-Ansatz for N=4 Super Yang-Mills
• Operator Mixing and the BMN Correspondence
• On lightcone string field theory from Super Yang-Mills and holography
• Explicit Formulas for Neumann Coefficients in the Plane-Wave Geometry
• On light-cone SFT contact terms in a plane wave
• BMN operators and string field theory
• Conformal Dimensions of Two-Derivative BMN Operators
• Correspondence between the 3-point BMN correlators and the 3-string vertex on the pp-wave
• A Note on Cubic Interactions in PP-Wave Light Cone String Field Theory

Cited by in corpus (30)

• 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
• TASI 2003 Lectures on AdS/CFT
• Resolving the Holography in the Plane-Wave Limit of AdS/CFT Correspondence
• Strings in plane wave backgrounds
• An alternative formulation of light-cone string field theory on the plane wave
• Derivation of String Field Theory from the Large N BMN Limit
• Conformal Dimensions of Two-Derivative BMN Operators
• Note on Plane Wave Quantum Mechanics
• Open+Closed String Field Theory From Gauge 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
• Light-Cone String Field Theory in a Plane Wave Background
• Holographic cubic vertex in the pp-wave
• BMN operators with three scalar impurites and the vertex--correlator duality in pp-wave
• 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
• New aspects of the BMN correspondence beyond the planar limit
• On the Uniqueness of Plane-wave String 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
• The AdS/CFT Correspondence: Classical, Quantum, and Thermodynamical Aspects
• An Algebraic Model for the su(2|2) Light-Cone String Field Theory