The all loop AdS4/CFT3 Bethe ansatz

Abstract

We propose a set of Bethe equations yielding the full asymptotic spectrum of the AdS4/CFT3 duality proposed in arXiv:0806.1218 to all orders in the t'Hooft coupling. These equations interpolate between the 2-loop Bethe ansatz of Minahan and Zarembo arXiv:0806.3951 and the string algebraic curve of arXiv:0807.0437. The several SU(2|2) symmetries of the theory seem to highly constrain the form of the Bethe equations up to a dressing factor whose form we also conjecture.

References added. Factor of 2 in the discussion of the (generalized) scaling function fixed

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Cited by in corpus (16)

• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• The complete AdS(4) x CP(3) superspace for the type IIA superstring and D-branes
• Anomalous radius shift in AdS(4)/CFT(3)
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• Comment on the Scaling Function in AdS4 x CP3
• Non-planar ABJM Theory and Integrability
• Two-loop test of the N=6 Chern-Simons theory S-matrix
• Giant Magnons on CP^3 by Dressing Method
• Dressed Giant Magnons on CP^3
• Weakly coupled N=4 Super Yang-Mills and N=6 Chern-Simons theories from u(2|2) Yangian symmetry
• Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms
• Factorized Tree-level Scattering in AdS_4 x CP^3
• The Morphology of N=6 Chern-Simons Theory
• Semiclassical strings in AdS(3) X S^2
• The virtual scaling function of twist operators in the N=6 Chern-Simons theory
• Fermionic reductions of the AdS4 x CP3 superstring