Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory

Abstract

Bethe ansatz equations have been proposed for the asymptotic spectral problem of AdS_4/CFT_3. This proposal assumes integrability, but the previous verification of weak-coupling integrability covered only the su(4) sector of the ABJM gauge theory. Here we derive the complete planar two-loop dilatation generator of N=6 superconformal Chern-Simons theory from osp(6|4) superconformal symmetry. For the osp(4|2) sector, we prove integrability through a Yangian construction. We argue that integrability extends to the full planar two-loop dilatation generator, confirming the applicability of the Bethe equations at weak coupling. Further confirmation follows from an analytic computation of the two-loop twist-one spectrum.

45 pages, v2: typos in (D.9) fixed, reference added, many small changes

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Cited by in corpus (45)

• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• Integrability, spin-chains and the AdS3/CFT2 correspondence
• Symmetries of Tree-level Scattering Amplitudes in N=6 Superconformal Chern-Simons Theory
• Two loop integrability for Chern-Simons theories with N=6 supersymmetry
• Exact Slope and Interpolating Functions in ABJM Theory
• Simplifying superstring and D-brane actions in AdS(4) x CP(3) superbackground
• Magnon dispersion to four loops in the ABJM and ABJ models
• 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
• Y-system and beta-deformed N=4 Super-Yang-Mills
• Yangians, S-matrices and AdS/CFT
• Infrared Stability of N=2 Chern-Simons Matter Theories
• Marginal Deformations and 3-Algebra Structures
• Revisiting the dilatation operator of the Wilson-Fisher fixed point
• Generalized Dynamical Spin Chain and 4-Loop Integrability in N=6 Superconformal Chern-Simons Theory
• Dyonic Giant Magnons in CP^3: Strings and Curves at Finite J
• Bethe Ansaetze for GKP strings
• One-Loop Corrections to Type IIA String Theory in AdS4 x CP3
• Exact Superconformal and Yangian Symmetry of Scattering Amplitudes
• Non-planar ABJ Theory and Parity
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• On wrapping corrections to GKP-like operators
• Full Lagrangian and Hamiltonian for quantum strings on AdS_4 x CP^3 in a near plane wave limit
• Dressed Giant Magnons on CP^3
• QCD properties of twist operators in the N=6 Chern-Simons theory
• Integrability of N=6 Chern-Simons Theory at Six Loops and Beyond
• Numerical results for the exact spectrum of planar AdS4/CFT3
• Scaling dimensions at small spin in N=4 SYM theory
• Strings in AdS_4 x CP^3: finite size spectrum vs. Bethe Ansatz
• Semiclassical folded string in AdS4 X CP3
• On the worldsheet theory of the type IIA AdS(4) x CP(3) superstring
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Two-Loop Spectroscopy of Short ABJM Operators
• Scattering of Giant Magnons in CP^3
• On three-point functions in ABJM and the latitude Wilson loop
• 1/3 BPS loops and defect CFTs in ABJM theory
• Dynamic Lattice Supersymmetry in gl(n|m) Spin Chains
• Spin chain for the deformed ABJM theory
• Y-system for $\gamma$-deformed ABJM Theory
• On the absence of reflection in AdS4/CFT3
• Generalized Gribov-Lipatov Reciprocity and AdS/CFT
• On the massless modes of the AdS3/CFT2 integrable systems
• Correlation functions of the ABJM model
• Wrapping effects in supersymmetric gauge theories
• Fermionic reductions of the AdS4 x CP3 superstring