The all loop AdS4/CFT3 Bethe ansatz

By N. Gromov, P. Vieira. 2008

277 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/73f197777e68e9167e7dcbe189d2cc3fde0d532d

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Citations in the corpus

Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal (2008, methodology): “Using this value in the Bethe Ansatz prescription of [8] restores the agreement between the string theory result and the Bethe Ansatz result for the one-loop term in the universal scaling function.”
Semiclassical quantization of spinning strings in AdS4 × ℂℙ3 (2008, result): “This, in conjunction with the knowledge of the sigma model algebraic curve and experience with the AdS5 × S(5) case [11], enabled the authors of [12] to conjecture the all-loop Bethe ansatz which should encode the anomalous dimensions of gauge theory operators (string states) for all values of λ.”
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.”
Integrability, spin-chains and the AdS3/CFT2 correspondence (2011, unknown): “the osp(6|4) spin-chain studied in [49, 57].”
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]).”
N = 6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations (2008, background): “In short, the asymptotic BAEs which follow from the proposed S-matrix give the full set of all-loop BAEs in [12].”
Exact results for the entanglement entropy and the energy radiated by a quark (2013, methodology): “If it were possible to also derive an expression for this function using integrability (as it was done for N = 4 super Yang Mills in [18, 19]), then by comparing the two answers one could compute a non-trivial function of the t’Hooft coupling that appears in all the ABJM results obtained via integra”
The quark anti-quark potential and the cusp anomalous dimension from a TBA equation (2012, background): “However, if one could generalize the discussion in this paper to Wilson loops in ABJM theory [45], then this small angle region could enable us to compute the undetermined function h(λ) that appears in the integrability approach to the ABJM theory [46].”
AdS4/CFT3 at one loop (2008, background): “For the case at hand, we can look up the strong coupling prediction for f(λ) for ABJM theory from [6] and the result is”
Towards integrability for AdS 3 / CFT 2 ?> (2014, unknown): “[156] could be validated.”
Spinning strings at one-loop in AdS(4) x P**3 (2008, methodology): “9 We are grateful to P. Vieira for pointing out a difference of 2 in our definition of J and that used in [ 14 ].”