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Exact spectrum of planar N=4 supersymmetric Yang-Mills theory: Konishi dimension at any coupling.

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TLDR
In this article, the full dimension of the Konishi operator in planar N = 4 super Yang-Mills theory for a wide range of couplings, from weak to strong coupling regime, and predict the subleading terms in its strong coupling asymptotics were computed.
Abstract
We compute the full dimension of the Konishi operator in planar N=4 super Yang-Mills theory for a wide range of couplings, from weak to strong coupling regime, and predict the subleading terms in its strong coupling asymptotics. For this purpose we solve numerically the integral form of the AdS/CFT Y-system equations for the exact energies of excited states proposed by us and A. Kozak.

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Towards integrability for AdS3/CFT2

TL;DR: In this paper, the authors considered supersymmetric string theories on curved backgrounds containing the three-dimensional anti-de-Sitter space, AdS3, and showed how their worldsheet scattering matrix factorises and their spectrum can be efficiently computed by Bethe ansatz techniques.
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The quark anti-quark potential and the cusp anomalous dimension from a TBA equation

TL;DR: In this article, a set of integral equations of the TBA type for the generalized cusp anomalous dimension, or the quark antiquark potential on the three sphere, as a function of the angles is derived.
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Quantum spectral curve for arbitrary state/operator in AdS 5 /CFT 4

TL;DR: In this article, a finite set of Riemann-Hilbert equations for exact spectrum of planar N = 4 SYM theory was derived, and a derivation of quantum spectral curve (QSC) was given.
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T-systems and Y-systems in integrable systems*

TL;DR: In this paper, a collection of short reviews on Toda field equations on discrete spacetime, Laplace sequence in discrete geometry, Fermionic character formulas and combinatorial completeness of Bethe ansatz, Q-system and ideal gas with exclusion statistics, analytic and thermodynamic Bethe- ansatze, quantum transfer matrix method and so forth.
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Quantum spectral curve for arbitrary state/operator in AdS$_5$/CFT$_4$

TL;DR: In this article, the authors give a derivation of quantum spectral curve (QSC) -a finite set of Riemann-Hilbert equations for exact spectrum of planar N=4 SYM theory.
References
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Journal ArticleDOI

The Large N limit of superconformal field theories and supergravity

TL;DR: In this article, it was shown that the large-N limits of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes, spheres, and other compact manifolds.
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Anti De Sitter Space And Holography

TL;DR: In this article, it was shown that the Kaluza-Klein modes of Type IIB supergravity on $AdS_5\times {\bf S}^5$ match with the chiral operators of the super Yang-Mills theory in four dimensions.
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Gauge Theory Correlators from Non-Critical String Theory

TL;DR: In this paper, a boundary of the anti-deSitter space analogous to a cut-off on the Liouville coordinate of the two-dimensional string theory is introduced to obtain certain Green's functions in 3+1-dimensional N = 4 supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory.
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The Bethe-Ansatz for N=4 Super Yang-Mills

TL;DR: In this paper, the authors derived the one-loop mixing matrix for anomalous dimensions in N = 4 super Yang-Mills, which can be identified with the Hamiltonian of an integrable SO(6) spin chain with vector sites.
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The Bethe-ansatz for Script N = 4 super Yang-Mills

TL;DR: In this paper, the authors derived the one-loop mixing matrix for anomalous dimensions in = 4 super Yang-Mills and showed that this matrix can be identified with the hamiltonian of an integrable SO(6) spin chain with vector sites.
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