Comptes Rendus
String theory and fundamental forces/Théorie des cordes et forces fondamentales
Higher-loop integrability in N=4 gauge theory
[Intégrabilité de la théorie de jauge N=4 aux ordres supérieurs en boucles.]
Comptes Rendus. Physique, String theory and fundamental forces - Strings 04, part I, Volume 5 (2004) no. 9-10, pp. 1039-1048

The dilatation operator measures scaling dimensions of local operator in a conformal field theory. Algebraic methods of constructing the dilatation operator in four-dimensional N=4 gauge theory are reviewed. These led to the discovery of novel integrable spin chain models in the planar limit. Making use of Bethe ansätze a superficial discrepancy in the AdS/CFT correspondence was found, we discuss this issue and give a possible resolution.

L'opérateur de dilatation mesure les dimensions d'échelles des opérateurs locaux des théories conformes des champs. Nous passons en revue les méthodes algébriques de construction de l'opérateur de dilatation pour la théorie de jauge N=4 en quatre dimensions. Ceci nous a conduit à découvrir, dans la limite planaire, de nouveaux modèles intégrables de chaînes de spin. En utilisant l'ansätze de Bethe une incompatibilité avec la correspondance AdS/CFT fut découverte, nous discutons ce problème et une résolution possible.

Publié le :
DOI : 10.1016/j.crhy.2004.09.011
Keywords: AdS/CFT correspondence, Integrable spin chains, Bethe ansatz
Mots-clés : Correspondance AdS/CFT, Modèles intégrables de chaînes de spin, Ansätze de Bethe

Niklas Beisert 1

1 Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, 14476 Potsdam, Germany
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Niklas Beisert. Higher-loop integrability in $ \mathcal{N}=4$ gauge theory. Comptes Rendus. Physique, String theory and fundamental forces - Strings 04, part I, Volume 5 (2004) no. 9-10, pp. 1039-1048. doi: 10.1016/j.crhy.2004.09.011

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