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Discontinuity relations for the AdS(4)/CFT(3) correspondence | | Andrea Cavaglia'
; Davide Fioravanti
; Roberto Tateo
; | | Date: |
29 Jul 2013 | | 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. | | Source: | arXiv, 1307.7587 | | Services: | Forum | Review | PDF | Favorites | |
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