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

2003/03/31 by Chong‐Sun Chu, Chong-Sun Chu, Valentin V. Khoze +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Field (mathematics) #Geometry #Impurity #Law #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Point (geometry) #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Representation (politics) #Scalar (mathematics) #Scalar field #Singlet state #Symmetry (geometry) #Wave function #hep-th

paper · pdf · doi:10.1088/1126-6708/2003/06/050

published as JHEP0306:050,2003 · 25 pages, 7 figures. v1: A reference and a footnote added; v2: New contributions found, Z_2 symmetry lost in 3-point functions

openalex publication_date 2003/06/25 · arxiv created 2003/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We calculate the coefficients of three-point functions of BMN operators with two vector impurities. We find that these coefficients can be obtained from those of the three-point functions of scalar BMN operators by interchanging the coefficient for the symmetric-traceless representation with the coefficient for the singlet. We conclude that the Z₂ symmetry of the pp-wave string theory is not manifest at the level of field theory three-point correlators.

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
• Implications of Conformal Invariance in Field Theories for General Dimensions
• BMN operators with three scalar impurites and the vertex-correlator duality in pp-wave
• Exact anomalous dimensions of N=4 Yang–Mills operators with large R charge