Generalized Gribov-Lipatov Reciprocity and AdS/CFT

Abstract

Planar N=4 SYM theory and QCD share the gluon sector, suggesting the investigation of Gribov-Lipatov reciprocity in the supersymmetric theory. Since the AdS/CFT correspondence links N=4 SYM and superstring dynamics on AdS5xS5, reciprocity is also expected to show up in the quantum corrected energies of certain classical string configurations dual to gauge theory twist-operators. We review recent results confirming this picture and revisiting the old idea of Gribov-Lipatov reciprocity as a modern theoretical tool useful for the study of open problems in AdS/CFT.

42 pages. Submitted to Advances in High Energy Physics, special issue on the "Gauge/String duality"

References in corpus (25)

• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Quantum corrections to the string Bethe ansatz
• Spinning strings and AdS/CFT duality
• A Test of the AdS/CFT Correspondence Using High-Spin Operators
• Anomalous dimensions of high-spin operators beyond the leading order
• Next-to-Next-to-Leading Order Evolution of Non-Singlet Fragmentation Functions
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• Wrapping interactions at strong coupling -- the giant magnon
• On the Strong Coupling Scaling Dimension of High Spin Operators
• The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz
• Complete 1-loop test of AdS/CFT
• Simplified TBA equations of the AdS_5 x S^5 mirror model
• Analytic three-loop Solutions for N=4 SYM Twist Operators
• Fine structure of anomalous dimensions in N=4 super Yang-Mills theory
• The virtual scaling function of AdS/CFT
• Three loop anomalous dimensions of twist-3 gauge operators in N=4 SYM
• Baxter equation for long-range SL(2|1) magnet
• Reciprocity of gauge operators in N=4 SYM
• Fusion hierarchies for N = 4 superYang-Mills theory
• Universality of three gaugino anomalous dimensions in N=4 SYM
• Gluon scattering in N=4 super-Yang-Mills theory from weak to strong coupling
• Anomalous dimensions of finite size field strength operators in N=4 SYM

Cited by in corpus (1)

• The property of maximal transcendentality in the N=4 Supersymmetric Yang-Mills