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arXiv · 1307.7587

Discontinuity relations for the AdS(4)/CFT(3) correspondence

Andrea Cavaglia'·Davide Fioravanti·Roberto Tateo
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Abstract

We study in detail the analytic properties of the Thermodynamic Bethe Ansatz (TBA) equations for the anomalous dimensions of composite operators in the planar limit of the 3D N=6 superconformal Chern-Simons gauge theory and derive functional relations for the jump discontinuities across the branch cuts in the complex rapidity plane. These relations encode the analytic structure of the Y functions and are extremely similar to the ones obtained for the previously-studied AdS(5)/CFT(4) case. Together with the Y-system and more basic analyticity conditions, they are completely equivalent to the TBA equations. We expect these results to be useful to derive alternative nonlinear integral equations for the AdS(4)/CFT(3) spectrum.

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Andrea Cavaglia', Davide Fioravanti, Roberto Tateo. 2013-07-29. Discontinuity relations for the AdS(4)/CFT(3) correspondence. https://doi.org/10.1016/j.nuclphysb.2013.10.023

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