Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM
arXiv:1105.3577 · doi:10.1007/JHEP06(2011)071
Abstract
We consider N=4 SYM and a class of spin N, length-3, twist operators beyond the well studied sl(2) subsector. They can be identified at one-loop with three gluon operators. At strong coupling, they are associated with spinning strings with two spins in AdS5. We exploit the Y-system to compute the leading weak-coupling four loop wrapping correction to their anomalous dimension. The result is written in closed form as a function of the spin N. We combine the wrapping correction with the known four-loop asymptotic Bethe Ansatz contribution and analyze special limits in the spin N. In particular, at large N, we prove that a generalized Gribov-Lipatov reciprocity holds. At negative unphysical spin, we present a simple BFKL-like equation predicting the rightmost leading poles.
arXiv comment18 pages
References in corpus (36)
- Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
- Integrability for the Full Spectrum of Planar AdS/CFT II
- Integrability for the Full Spectrum of Planar AdS/CFT
- Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
- Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
- Excited states by analytic continuation of TBA equations
- On String S-matrix, Bound States and TBA
- Exact AdS/CFT spectrum: Konishi dimension at any coupling
- Dressing and Wrapping
- String hypothesis for the AdS_5 x S^5 mirror
- Four loop twist two, BFKL, wrapping and strings
- Anomalous dimensions of high-spin operators beyond the leading order
- Renormalization of twist-three operators and integrable lattice models
- Five-Loop Anomalous Dimension of Twist-Two Operators
- Higher Spin Symmetry and N=4 SYM
- Five loop Konishi from AdS/CFT
- Extended Y-system for the correspondence
- Five-loop Konishi from the Mirror TBA
- N=4 SUSY Yang--Mills: three loops made simple(r)
- Exploring the mirror TBA
- Y-system and Quasi-Classical Strings
- Wronskian Solution for AdS/CFT Y-system
- Konishi operator at intermediate coupling
- Simplified TBA equations of the AdS_5 x S^5 mirror model
- PSU(2,2|4) Character of Quasiclassical AdS/CFT
- 5-loop Konishi from linearized TBA and the XXX magnet
- Analytic three-loop Solutions for N=4 SYM Twist Operators
- Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
- Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability
- The Bajnok-Janik formula and wrapping corrections
- Three loop anomalous dimensions of twist-3 gauge operators in N=4 SYM
- Analytic solution of the multiloop Baxter equation
- Reciprocity of gauge operators in N=4 SYM
- On wrapping corrections to GKP-like operators
- On the TBA and its analytic properties
- From weak coupling to spinning strings