Operator Mixing and the AdS/CFT correspondence

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.

21 pages, 3 figures. Typos corrected

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Cited by in corpus (17)

• Two and three-point correlators of operators dual to folded string solutions at strong coupling
• SL(2) sector: weak/strong coupling agreement of three-point correlators
• Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
• Three-point functions in planar N=4 super Yang-Mills Theory for scalar operators up to length five at the one-loop order
• Three-Point Functions and su(1|1) Spin Chains
• Operator mixing and three-point functions in N=4 SYM
• Three-Point Functions of Twist-Two Operators in N=4 SYM at One Loop
• Holographic three-point correlators in the Schrodinger/dipole CFT correspondence
• The two-loop dilatation operator of N=4 super Yang-Mills theory in the SO(6) sector
• Three-point functions of BMN operators at weak and strong coupling II. One loop matching
• Correlators of massive string states with conserved currents
• String theory on the Schrodinger pp-wave background
• Giant Gravitons on the Schrodinger pp-wave geometry
• A note on three-point functions of unprotected operators
• Entanglement Entropy of the N=4 SYM spin chain
• BMN operators with a scalar fermion pair and operator mixing in N=4 Super Yang-Mills Theory
• Generalised cusp anomalous dimension in beta-deformed super Yang Mills theory