A two-loop test for the factorised S-matrix of planar N=4

Abstract

We check the recently proposed higher loop Bethe-ansatz for the sl(2) sector of N=4 at two loops by a direct perturbative calculation using N=2 superfields in supersymmetric dimensional reduction. Our method can in principle address operators built from many elementary fields and of arbitrary twist. We work out in detail the spin three, twist three operator mixing problem at leading order in N and find agreement with the prediction based on integrability.

18 pages LaTeX, 3 figures

References in corpus (9)

• Bethe Ansatz for Quantum Strings
• The Factorized S-Matrix of CFT/AdS
• Classical/quantum integrability in non-compact sector of AdS/CFT
• On one-loop correction to energy of spinning strings in S^5
• A three-loop test of the dilatation operator in N=4 SYM
• Higher Impurity AdS/CFT Correspondence in the Near-BMN Limit
• Two-loop commuting charges and the string/gauge duality
• N-Impurity Superstring Spectra Near the pp-Wave Limit
• Operator mixing in N=4 SYM: The Konishi anomaly revisited

Cited by in corpus (20)

• Transcendentality and Crossing
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Planar N=4 Gauge Theory and the Hubbard Model
• Integrability and Transcendentality
• The scaling function at strong coupling from the quantum string Bethe equations
• N=4 SYM to Two Loops: Compact Expressions for the Non-Compact Symmetry Algebra of the su(1,1|2) Sector
• Long-range SL(2) Baxter equation in N=4 super-Yang-Mills theory
• Integrability of two-loop dilatation operator in gauge theories
• Duality between Wilson loops and gluon amplitudes
• Towards Baxter equation in supersymmetric Yang-Mills theories
• Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
• Baxter equation for long-range SL(2|1) magnet
• Fusion hierarchies for N = 4 superYang-Mills theory
• Universality of three gaugino anomalous dimensions in N=4 SYM
• Integrability and MHV diagrams in N=4 supersymmetric Yang-Mills theory
• The two-loop dilatation operator of N=4 super Yang-Mills theory in the SO(6) sector
• Large spin expansion of the long-range Baxter equation in the sl(2) sector of N=4 SYM
• Review of AdS/CFT Integrability, Chapter I.2: The spectrum from perturbative gauge theory
• Three-loop universal anomalous dimension of the Wilson operators in N=4 Supersymmetric Yang-Mills theory
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling