Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM

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.

18 pages

References in corpus (16)

• 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
• On String S-matrix, Bound States and TBA
• Dressing and Wrapping
• String hypothesis for the AdS_5 x S^5 mirror
• Anomalous dimensions of high-spin operators beyond the leading order
• N=4 SUSY Yang--Mills: three loops made simple(r)
• Wronskian Solution for AdS/CFT Y-system
• Konishi operator at intermediate coupling
• Simplified TBA equations of the AdS_5 x S^5 mirror model
• Analytic three-loop Solutions for N=4 SYM Twist Operators
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• The Bajnok-Janik formula and wrapping corrections
• Three loop anomalous dimensions of twist-3 gauge operators in N=4 SYM
• Reciprocity of gauge operators in N=4 SYM
• On the $Ad{S}_5/CF{T}_4$ TBA and its analytic properties

Cited by in corpus (1)

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