Operator mixing and the AdS/CFT correspondence

2008/10/31 by George Georgiou, G Georgiou, Valeria L. Gili +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1088/1126-6708/2009/01/082

published as JHEP 0901:082,2009 · 21 pages, 3 figures. Typos corrected

openalex publication_date 2009/01/30 · arxiv created 2009/03/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We provide a direct prescription for computing the mixing among gauge invariant operators in N=4 SYM. Our approach is based on the action of the superalgebra on the states of the theory and thus it can be also applied to resolve the mixing in the dual string description. As an example, we focus on the supermultiplet containing the BMN operators with two impurities. On the field theory side, we derive the leading planar quantum corrections to the naive expression of the highest weight state. Then we use the same prescription in the BMN limit of the AdS5xS5 string theory and derive the form of the 2-impurity highest weight state. The string expression matches nicely the SYM result and provides a prediction for the mixing due to higher order quantum corrections in field theory.

Citations

• The three-string vertex and the AdS/CFT duality in the PP-wave limit
• New results for two-loop off-shell three-point diagrams
• Exact anomalous dimensions of N=4 Yang–Mills operators with large R charge
• Impurity non-preserving 3-point correlators of BMN operators from PP-wave holography II: Fermionic excitations

Cited by

• Operator mixing and three-point functions in N=4 SYM