Impurity Non-Preserving 3-Point Correlators of BMN Operators from PP-Wave Holography I : Bosonic Excitations

Abstract

As a continuation of our previous works studying the holographic principle in the plane-wave limit, we discuss the 3-point correlation functions of BMN operators with bosonic excitations when impurities are not conserved. We show that our proposal for a holographic mapping between the conformal OPE coefficients of super Yang-Mills theory and the 3-point vertex of the holographic string field theory is valid to the leading order in the large $\mu$ limit. Our results provide for the first time a direct holographic relation for the 3-point correlators of BMN operators including impurity non-preserving processes.

35 pages, 5 figurs, corrected minor typos, the version to be published in Nucl. Phys. B

References in corpus (27)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Three-Point Functions of Chiral Operators in D=4, $\mathcal{N}=4$ SYM at Large N
• A New Double-Scaling Limit of N=4 Super Yang-Mills Theory and PP-Wave Strings
• PP-wave string interactions from perturbative Yang-Mills theory
• BMN Correlators and Operator Mixing in N=4 Super Yang-Mills Theory
• Superstring Interactions in a pp-wave Background
• Operator Mixing and the BMN Correspondence
• Superstring Interactions in a pp-wave Background II
• More comments on superstring interactions in the pp-wave background
• Strings in the near plane wave background and AdS/CFT
• BMN Operators and Superconformal Symmetry
• PP-Wave Light-Cone Superstring Field Theory
• Explicit Formulas for Neumann Coefficients in the Plane-Wave Geometry
• Holographic Reformulation of String Theory on AdS_5 x S^5 background in the PP-wave limit
• Resolving the Holography in the Plane-Wave Limit of AdS/CFT Correspondence
• The 3-string vertex and the AdS/CFT duality in the PP-wave limit
• Vector operators in the BMN correspondence
• New Effects in Gauge Theory from pp-wave Superstrings
• SYM Description of PP-wave String Interactions: Singlet Sector and Arbitrary Impurities
• On the plane-wave cubic vertex
• 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
• SYM Description of SFT Hamiltonian in a PP-Wave Background
• PP-Wave Holography for Dp-Brane Backgrounds
• Large N limit of SYM theories with 16 supercharges from superstrings on Dp-brane backgrounds
• New aspects of the BMN correspondence beyond the planar limit
• On the Uniqueness of Plane-wave String Field Theory

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• Tailoring Three-Point Functions and Integrability
• Matrix Model Maps in AdS/CFT
• Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
• Holography of Two-point Functions in the Spinning String/Spin Chain Correspondence
• Holography of Wilson-Loop Expectation Values with Local Operator Insertions
• Extended Fermion Representation of Multi-Charge 1/2-BPS Operators in AdS/CFT -- Towards Field Theory of D-Branes --
• Divergence Cancellation and Loop Corrections in String Field Theory on a Plane Wave Background
• Non-perturbative contributions to the plane-wave string mass matrix
• AdS/CFT v.s. String Loops
• Holography at string field theory level: Conformal three point functions of BMN operators
• Matching three-point functions of BMN operators at weak and strong coupling
• Three-point functions of BMN operators at weak and strong coupling II. One loop matching
• Three-point functions at strong coupling in the BMN limit
• On membrane interactions and a three-dimensional analog of Riemann surfaces
• Three-BMN Correlation Functions: Integrability vs. String Field Theory One-Loop Mismatch
• Evidence for Gauge/Gravity Correspondence for D$p$-branes at Weak 't Hooft Coupling
• 1/2-BPS Correlators as c=1 S-matrix
• An Algebraic Model for the su(2|2) Light-Cone String Field Theory