BMN operators and string field theory

Abstract

We extract from gauge theoretical calculations the matrix elements of the SYM dilatation operator. By the BMN correspondence this should coincide with the 3-string vertex of light cone string field theory in the pp-wave background. We find a mild but important discrepancy with the SFT results. If the modified $O(g_2)$ matrix elements are used, the $O(g_2^2)$ anomalous dimensions are exactly reproduced without the need for a contact interaction in the single string sector.

arXiv comment11 pages; v2: references added

References in corpus (6)

• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• PP-wave string interactions from perturbative 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
• Three point functions of N=4 Super Yang Mills from light cone string field theory in pp-wave
• PP-wave string interactions from n-point correlators of BMN operators

Cited by in corpus (31)

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• Strings in plane wave backgrounds
• From counting to construction of BPS states in N=4 SYM
• Yangian Symmetries of Matrix Models and Spin Chains: The Dilatation Operator of $\mathcal{N}$$=4$ SYM
• SYM Description of PP-wave String Interactions: Singlet Sector and Arbitrary Impurities
• Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
• Permutations and the Loop
• Conformal Dimensions of Two-Derivative BMN Operators
• An alternative formulation of light-cone string field theory on the plane wave
• Note on Plane Wave Quantum Mechanics
• Quasilocality of joining/splitting strings from coherent states
• Non-planar ABJ Theory and Parity
• Cut-and-join operators and N=4 super Yang-Mills
• Open+Closed String Field Theory From Gauge Fields
• 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
• The Duality between IIB String Theory on PP-wave and N=4 SYM: a Status Report
• Extraction of parton distributions from lattice QCD
• The Dilatation Operator of $\mathcal{N}$ $=$ 4 SYM and Classical Limits of Spin Chains and Matrix Models
• New tests of the pp-wave correspondence
• On the spectral problem of N=4 SYM with orthogonal or symplectic gauge group
• AdS/CFT v.s. String Loops
• Decay widths of three-impurity states in the BMN correspondence
• Chiral primary cubic interactions from pp-wave supergravity
• One-Loop Non-Planar Anomalous Dimensions in Super Yang-Mills Theory