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Worldsheet scattering in AdS(5) x S**5

TLDR
In this article, the S-matrix in the gauge-fixed sigma model on AdS(5) x S-5 to the leading order in perturbation theory is analyzed.
Abstract
We calculate the S-matrix in the gauge-fixed sigma-model on AdS(5) x S-5 to the leading order in perturbation theory, and analyze how supersymmetry is realized on the scattering states. A mild nonlocality of the supercharges implies that their action on multi-particle states does not follow the Leibniz rule, which is replaced by a nontrivial coproduct. The plane wave symmetry algebra is thus naturally enhanced to a Hopf algebra. This structure mirrors that of the large't Hooft coupling expansion of the S-matrix for the spin chain in the dual super-Yang-Mills theory.

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Journal Article

Quantum electrodynamics

TL;DR: In this paper, the subject of quantum electrodynamics is presented in a new form, which may be dealt with in two ways: using redundant variables and using a direct physical interpretation.
Journal ArticleDOI

Foundations of the AdS5 × S5 superstring: I

TL;DR: In this article, the authors review the recent advances towards finding the spectrum of the AdS5? S5 superstring and thoroughly explain the theoretical techniques which should be useful for the ultimate solution of the spectral problem.
Journal ArticleDOI

Foundations of the AdS_5 x S^5 Superstring. Part I

TL;DR: In this article, the authors review the recent advances towards finding the spectrum of the AdS_5 x S^5 superstring and thoroughly explain the theoretical techniques which should be useful for the ultimate solution of the spectral problem.
Journal ArticleDOI

The Zamolodchikov-Faddeev Algebra for AdS5 x S5 Superstring

TL;DR: In this paper, the Zamolodchikov-Faddeev algebra for the superstring sigma model on AdS5 ×S 5 was discussed and the canonical su(2|2) 2 invariant S-matrix satisfy- ing the standard Yang-Baxter and crossing symmetry equations.
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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.
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.
Journal ArticleDOI

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.
Journal ArticleDOI

Zur Theorie der Metalle

TL;DR: In this article, a Methode angegeben, um die Eigenfunktionen nullter and Eigenwerte erster Naherung (im Sinne des Approximationsverfahrens von London and Heitler) fur ein „eindimensionales Metall“ zu berechnen, bestehend aus einer linearen Kette von sehr vielen Atomen, von denen jedes auser abgeschlossenen Schalen eins-Elektron with Spin besitz