On wrapping corrections to GKP-like operators

Abstract

In the recent paper arXiv:1010.5009, Maldacena et al. derive the two loop expressions for polygonal Wilson loops expectation values, or MHV amplitudes, by writing them as sums over exchanges of intermediate free particles. The spectrum of excitations of the flux tube between two null Wilson lines can be viewed as the spectrum of excitations around the infinite spin limit of finite twist operators in the sl(2) sector of N=4 SYM or the Gubser-Klebanov-Polyakov (GKP) string. This regime can be captured exploiting integrability and assuming that wrapping corrections are negligible compared to asymptotic Bethe Ansatz contributions. This assumption holds true for the N=4 SYM background GKP string, but deserves further analysis for excited states. Here, we investigate GKP cousins by considering various classes of (generalized) twist operators in beta-deformed N=4 SYM and ABJM theory. We show that the Y-system of Gromov-Kazakov-Vieira easily leads to accurate large spin expansions of the wrapping correction at lowest order in weak-coupling perturbation theory. As a byproduct, we confirm that wrapping corrections are subleading in all the considered cases.

37 pages, 6 eps figures

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Cited by in corpus (20)

• Integrability of the AdS_5 x S^5 superstring and its deformations
• Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries
• Oscillator Construction of su(n|m) Q-Operators
• Twist operators in N=4 beta-deformed theory
• Exploring the spectrum of planar $Ad{S}_4/CF{T}_3$ at finite coupling
• Hybrid NLIE for the Mirror AdS_5 x S^5
• Numerical results for the exact spectrum of planar AdS4/CFT3
• Semiclassical folded string in AdS4 X CP3
• Y-system for Z_S Orbifolds of N=4 SYM
• ABJM quantum spectral curve and Mellin transform
• Orbifolded Konishi from the Mirror TBA
• Y-system for $\gamma$-deformed ABJM Theory
• The fate of the Konishi multiplet in the β-deformed Quantum Spectral Curve
• Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• On analytical perturbative solution of ABJM quantum spectral curve
• Contour deformation trick in hybrid NLIE
• Exact Results in Supersymmetric Gauge Theories
• Large spin expansion of the wrapping correction to Freyhult-Rej-Zieme twist operators
• 12 loops and triple wrapping in ABJM theory from integrability