Four loop twist two, BFKL, wrapping and strings

Abstract

The anomalous dimensions of twist two operators have to satisfy certain consistency requirements derived from BFKL. For N=4 SYM it was shown that at four loops, the anomalous dimensions derived from the all-loop asymptotic Bethe ansatz do not pass this test. In this paper we obtain the remaining wrapping part of these anomalous dimensions from string theory and show that these contributions exactly cure the problem and lead to agreement with both LO and NLO BFKL expectations.

34 pages, 1 figure; v3: typos fixed, references added; v4: references added

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• Pomeron in the N=4 supersymmetric gauge model at strong couplings
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• Two-loop AdS_5 x S^5 superstring: testing asymptotic Bethe ansatz and finite size corrections
• On Yangian and Long Representations of the Centrally Extended su(2|2) Superalgebra
• Twist-two operators and the BFKL regime - nonstandard solutions of the Baxter equation
• A next-to-leading Luescher formula
• Numerical results for the exact spectrum of planar AdS4/CFT3
• Universal blocks of the AdS/CFT Scattering Matrix
• Boundary finite size corrections for multiparticle states and planar AdS/CFT
• The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: first moments in N=4 SYM and non-singlet QCD
• Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
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• The property of maximal transcendentality: calculation of master integrals
• Review of AdS/CFT Integrability, Chapter III.4: Twist states and the cusp anomalous dimension
• Konishi at strong coupling from ABE
• Y-system for Z_S Orbifolds of N=4 SYM
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• From weak coupling to spinning strings
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• Large-Spin Expansions of GKP Strings
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• Gluing Hexagons at Three Loops
• Approaching the BFKL pomeron via integrable classical solutions
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• The high spin expansion of twist sector dimensions: the planar N=4 super Yang-Mills theory
• Real and Virtual Bound States in Lüscher Corrections for CP3 Magnons
• S-duality invariant perturbation theory improved by holography
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• Exact result in N=4 SYM theory: Generalised double-logarithmic equation
• Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM
• The property of maximal transcendentality in the N=4 SYM
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• Commuting Conformal and Dual Conformal Symmetries in the Regge limit
• Lee-Yang Model in Presence of Defects
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• Exact Results in Supersymmetric Gauge Theories
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