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

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