Tuesday, July 30, 2013

1307.7587 (Andrea Cavaglia' et al.)

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

Andrea Cavaglia', Davide Fioravanti, Roberto Tateo
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.
View original: http://arxiv.org/abs/1307.7587

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