Dressing and Wrapping

Abstract

We prove that the validity of the recently proposed dressed, asymptotic Bethe ansatz for the planar AdS/CFT system is indeed limited at weak coupling by operator wrapping effects. This is done by comparing the Bethe ansatz predictions for the four-loop anomalous dimension of finite-spin twist-two operators to BFKL constraints from high-energy scattering amplitudes in N=4 gauge theory. We find disagreement, which means that the ansatz breaks down for length-two operators at four-loop order. Our method supplies precision tools for multiple all-loop tests of the veracity of any yet-to-be constructed set of exact spectral equations. Finally we present a conjecture for the exact four-loop anomalous dimension of the family of twist-two operators, which includes the Konishi field.

20 pages, 2 tables, no figures; v2: references added, conjecture on exact four-loop twist-two result stated

References in corpus (1)

• N=4 SUSY Yang--Mills: three loops made simple(r)

Cited by in corpus (9)

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• Quantum Wrapped Giant Magnon
• Finite size effects for giant magnons on physical strings
• Interacting finite-size magnons
• Fusion hierarchies for N = 4 superYang-Mills theory
• The Ising model and planar N=4 Yang-Mills