Discontinuity relations for the AdS(4)/CFT(3) correspondence
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.
Cite
@article{arxiv.1307.7587,
title = {Discontinuity relations for the AdS(4)/CFT(3) correspondence},
author = {Andrea Cavaglia' and Davide Fioravanti and Roberto Tateo},
journal= {arXiv preprint arXiv:1307.7587},
year = {2015}
}
Comments
33 pages, 9 figures