BMN operators with three scalar impurites and the vertex-correlator duality in pp-wave

2003/02/10 by George Georgiou, Valentin V. Khoze · 25 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Cosmology and Gravitation Theories #Duality (order theory) #Gauge theory #Geometry #Graph #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Scalar (mathematics) #String (physics) #String theory #Supergravity #Supersymmetry #Vertex (graph theory) #hep-th

paper · pdf · doi:10.1088/1126-6708/2003/04/015

published in Journal of High Energy Physics 2003(04), 015 (Springer Nature) · 32 pages, 13 figures

arxiv created 2003/02/10 · openalex publication_date 2003/04/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We calculate 3-point correlation functions of Delta-BMN operators with 3 scalar impurites in N=4 supersymmetric gauge theory. We use these results to test the pp-wave/SYM duality correspondence of the vertex--correlator type. This correspondence relates the coefficients of 3-point correlators of Delta-BMN operators in gauge theory to the 3-string vertex in lightcone string field theory in the pp-wave background. We verify the vertex--correlator duality equation of hep-th/0301036 at the 3 scalar impurites level for supergravity and for string modes.

Citations

• Bits, matrices and 1/N
• Vector operators in the BMN correspondence
• SYM description of PP-wave string interactions: singlet sector and arbitrary impurities
• A new double-scaling limit of =4 super-Yang–Mills theory and pp-wave strings
• Cubic interactions inpp-wave light-cone string field theory
• pp-wave light-cone superstring field theory
• Exact anomalous dimensions of N=4 Yang–Mills operators with large R charge

Cited by

• BMN operators with vector impurities, Bbb Z2symmetry and pp-waves