N = 6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations

By C. Ahn, Rafael I. Nepomechie. 2008

171 citations recorded by the source corpus.

We propose the exact S-matrix for the planar limit of the = 6 super Chern-Simons theory recently proposed by Aharony, Bergman, Jafferis, and Maldacena for the AdS4/CFT3 correspondence. Assuming SU(2|2) symmetry, factorizability and certain crossing-unitarity relations, we find the S-matrix including the dressing phase. We use this S-matrix to formulate the asymptotic Bethe ansatz. Our result for the Bethe-Yang equations and corresponding Bethe ansatz equations confirms the all-loop Bethe ansatz equations recently conjectured by Gromov and Vieira.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/84a797d831cbcec885fe60dfc91a72a9b42ddf92

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Citations in the corpus

Three-dimensional N=6 SCFT's and their membrane dynamics (2008, background): “A notable feature of the string theory limit of the ABJM theory, whose sigma model was studied in [14, 15] and, using a covariant formulation, in [16], is that it appears to be integrable [17, 18] (see also [19, 20]).”
Towards integrability for AdS 3 / CFT 2 ?> (2014, background): “Semi-classical integrability was found in terms of giant magnons [144, 149–152] and of an algebraic-curve description [153], and an all-loop S-matrix was proposed [154] by postulating the symmetry that then emerged from the off-shell analysis of the gauge-fixed theory [155].”
Anomalous radius shift in AdS4/CFT3 (2009, background): “The maximally supersymmetric AdS5 × S5 background in Type IIB string theory is believed to be exact, namely free of any higher order corrections [4].”
Semiclassical quantization of spinning strings in AdS4 × ℂℙ3 (2008, background): “Finally, the su(2|2)-invariant S-matrix underlying these Bethe equations has been identified [15].”
Strings on semisymmetric superspaces (2010, methodology): “For the string sigma-models on AdS5×S and AdS4×CP 3 the classical algebraic curve [44–46], the worldsheet S-matrix [47, 48] and the asymptotic quantum Bethe equations [49, 50] are known.”
Spinning strings at one-loop in AdS(4) x P**3 (2008, background): “J H E P 1 2 ( 2 0 0 8 ) 1 0 1 [20 – 22], asymptotic Bethe equations have been conjectured in [23] (see also [24]).”
Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal (2008, methodology): “a1 = 0; this was apparently confirmed in [13] where the fluctuation spectrum near the giant magnon solution was computed using the algebraic curve technique [14 – 16] (the conjecture also passed a few other consistency checks see [11, 17]).”