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.

33 pages, 9 figures

References in corpus (10)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Quantum spectral curve for AdS_5/CFT_4
• The Bethe ansatz for superconformal Chern-Simons
• The all loop AdS4/CFT3 Bethe ansatz
• Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
• On the Singularities of the Magnon S-matrix
• Minimal solution of the AdS/CFT crossing equation
• On the $Ad{S}_5/CF{T}_4$ TBA and its analytic properties

Cited by in corpus (10)

• Quantum spectral curve for arbitrary state/operator in AdS${}_5$/CFT${}_4$
• The Quantum Spectral Curve of the ABJM theory
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• The full Quantum Spectral Curve for $Ad{S}_4/CF{T}_3$
• Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension
• Exploring the spectrum of planar $Ad{S}_4/CF{T}_3$ at finite coupling
• Integrable Wilson loops in ABJM: a $Y$-system computation of the cusp anomalous dimension
• ABJM quantum spectral curve and Mellin transform
• On analytical perturbative solution of ABJM quantum spectral curve
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution