The Leading Order Dressing Phase in ABJM Theory

Abstract

We study the planar asymptotic dilatation operator of ABJM theory in the SU(2) x SU(2) sector up to eight loops. Combining Bethe Ansatz techniques and N = 2 superspace methods, we are able to fix all the coefficients appearing in the maximal-reshuffling terms. In particular, we can directly compute from Feynman diagrams the leading order coefficient of the dressing phase and find an agreement with the relation conjectured by Gromov and Vieira between the ABJM and N = 4 SYM phase factor.

arXiv comment41 pages, 2 figures, 1 table, JHEP3; v2: references added; v3: published version

References in corpus (49)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Review of AdS/CFT Integrability: An Overview
• Cuba - a library for multidimensional numerical integration
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• Fractional M2-branes
• Bethe Ansatz for Quantum Strings
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• Automatized analytic continuation of Mellin-Barnes integrals
• A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
• The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability
• Integrability for the Full Spectrum of Planar AdS/CFT
• A Crossing-Symmetric Phase for AdS_5 x S^5 Strings
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
• Quantum corrections to the string Bethe ansatz
• The Bethe ansatz for superconformal Chern-Simons
• The SU(2) x SU(2) sector in the string dual of N=6 superconformal Chern-Simons theory
• The all loop AdS4/CFT3 Bethe ansatz
• AMBRE - a Mathematica package for the construction of Mellin-Barnes representations for Feynman integrals
• On AdS_5 x S^5 String S-matrix
• Wrapping at four loops in N=4 SYM
• N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3
• Spinning strings at one-loop in AdS_4 x P^3
• The AdS4/CFT3 algebraic curve
• Anomalous dimension with wrapping at four loops in N=4 SYM
• Integrable Spin Chain in Superconformal Chern-Simons Theory
• The Gegenbauer Polynomial Technique: the evaluation of a class of Feynman diagrams
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• AdS4/CFT3 at One Loop
• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• Anomalous dimensions at four loops in N=6 superconformal Chern-Simons theories
• Comment on the Scaling Function in AdS4 x CP3
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Integrable Spin Chain of Superconformal U(M)xU(N) Chern-Simons Theory
• Generalized Dynamical Spin Chain and 4-Loop Integrability in N=6 Superconformal Chern-Simons Theory
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• Numerical results for the exact spectrum of planar AdS4/CFT3
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• An alternative S-matrix for N=6 Chern-Simons theory ?
• Quantum finite-size effects for dyonic magnons in the AdS_4 x CP^3
• Scattering of Giant Magnons in CP^3
• Two-Loop Spectroscopy of Short ABJM Operators
• On the absence of reflection in AdS4/CFT3
• Wrapping effects in supersymmetric gauge theories

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• An improved AFS phase for AdS3 string integrability
• ABJM amplitudes and WL at finite N
• An exact limit of ABJM
• Polyakov Loops for the ABJ Theory