Exact Spectrum of Anomalous Dimensions of Planar N=4 Supersymmetric Yang-Mills Theory: TBA and excited states
TLDR
An infinite set of integral non-linear equations for the spectrum of states/operators in AdS/CFT are derived and it is proved that all the kernels and free terms entering these TBA equations are real and have nice fusion properties in the relevant mirror kinematics.Abstract:
Using the thermodynamic Bethe ansatz method we derive an infinite set of integral non-linear equations for the spectrum of states/operators in AdS/CFT. The Y-system conjectured in Gromov et al. (Integrability for the Full Spectrum of Planar AdS/CFT. arXiv:0901.3753 [hep-th]) for the spectrum of all operators in planar N = 4 SYM theory follows from these equations. In particular, we present the integral TBA type equations for the spectrum of all operators within the sl(2) sector. We prove that all the kernels and free terms entering these TBA equations are real and have nice fusion properties in the relevant mirror kinematics. We find the analog of DHM formula for the dressing kernel in the mirror kinematics.read more
Citations
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Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory
TL;DR: In this article, the dual superconformal generators of planar = 4 super Yang-Mills theory were shown to transform covariantly with respect to a ''dual'' symmetry algebra psu(2,2|4) for tree-level scattering amplitudes.
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Scattering Amplitudes and the Positive Grassmannian
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TL;DR: In this paper, a direct connection between scattering amplitudes in planar four-dimensional theories and a remarkable mathematical structure known as the positive Grassmannian is established, and the all-loop integrand in N = 4 SYM is naturally represented in this way.
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Thermodynamic Bethe ansatz for planar AdS/CFT: a proposal
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Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
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TL;DR: In this paper, the authors use the string hypothesis for the mirror theory to derive the Thermodynamic Bethe Ansatz equations for the AdS5 × S5 mirror model and demonstrate how these equations can be used to construct the associated Y-system.
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