String Interactions in PP-wave from N = 4 Super Yang Mills

Abstract

We consider non-planar contributions to the correlation functions of BMN operators in free N = 4 super Yang Mills theory. We recalculate these non-planar contributions from a different kind of diagram and find some exact agreements. The vertices of these diagrams are represented by free planar three point functions, thus our calculations provide some interesting identities for correlation functions of BMN operators in N = 4 super Yang Mills theory. These diagrams look very much like loop diagrams in a second quantized string field theory, thus these identities could possibly be interpreted as natural consequences of the pp-wave/CFT correspondence.

21 pages, 10 figures. V3: journal version, slight changes in abstract and introduction. V4: minor typos and correction

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Cited by in corpus (27)

• Operator Mixing and the BMN Correspondence
• D-branes in Yang-Mills theory and Emergent Gauge Symmetry
• More comments on superstring interactions in the pp-wave background
• Giant Gravitons - with Strings Attached (I)
• Strings in the near plane wave background and AdS/CFT
• BMN Operators and Superconformal Symmetry
• Tracing the String: BMN correspondence at Finite J^2/N
• Bit Strings from N=4 Gauge Theory
• TASI 2003 Lectures on AdS/CFT
• PP-wave String Interactions from String Bit Model
• Strings in plane wave backgrounds
• SYM Description of PP-wave String Interactions: Singlet Sector and Arbitrary Impurities
• Gauge theory description of compactified pp-waves
• Conformal Dimensions of Two-Derivative BMN Operators
• Cut-and-join operators and N=4 super Yang-Mills
• Open+Closed String Field Theory From Gauge Fields
• The Duality between IIB String Theory on PP-wave and N=4 SYM: a Status Report
• Light-Cone String Field Theory in a Plane Wave Background
• A note on string interaction on the pp-wave background
• Chiral primary cubic interactions from pp-wave supergravity
• Note on S-channel factorization in multitrace Berenstein-Maldacena-Nastase correlators
• Entropy of Berenstein-Maldacena-Nastase Strings
• Strings on Plane Waves and AdS x S
• Free BMN Correlators With More Stringy Modes
• Non-Negativity of BMN Two-Point Functions With Three String Modes
• Higher Genus BMN Correlators: Factorization and Recursion Relations
• Aspects of Supersymmetric Gauge Theory and String Theory