Comptes Rendus
String theory and fundamental forces/Théorie des cordes et forces fondamentales
Semiclassical relativistic strings in AdS5×S5 and long scalar operators in N=4 SYM theory
[Cordes relativistes semi-classiques dans AdS5×S5 et longs opérateurs dans la théorie de super Yang–Mills N=4.]
Comptes Rendus. Physique, Volume 5 (2004) no. 9-10, pp. 1049-1059.

Nous passons en revue les progrès récents sur les vérifications quantitatives de la dualité AdS/CFT dans le régime où les états « semiclassiques » de cordes sont du aux « longs » opérateurs scalaires de la théorie de super Yang–Mills N=4. En particulier, nous décrivons l'approche effective, dans laquelle le modèle sigma décrivant les états cohérents est montré émerger de l'action de la corde sur AdS5×S5 et de l'Hamiltonien d'une chaîne de spin intégrable représentant l'opérateur de dilatation en SYM.

We review recent progress in quantitative checking of AdS/CFT duality in the sector of ‘semiclassical’ string states dual to ‘long’ scalar N=4 super Yang–Mills operators. In particular, we describe the effective action approach, in which the same sigma model type action describing coherent states is shown to emerge from the AdS5×S5 string action and from an integrable spin chain Hamiltonian representing the SYM dilatation operator.

Publié le :
DOI : 10.1016/j.crhy.2004.09.009
Keywords: AdS/CFT duality, Super Yang–Mills operators
Mot clés : Dualité AdS/CFT, Théorie de super Yang–Mills

Arkady A. Tseytlin 1

1 Physics Department, The Ohio State University, Columbus, OH43210-1106, USA
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Arkady A. Tseytlin. Semiclassical relativistic strings in $ {\mathit{AdS}}_{5}\times {S}^{5}$ and long scalar operators in $ \mathcal{N}=4$ SYM theory. Comptes Rendus. Physique, Volume 5 (2004) no. 9-10, pp. 1049-1059. doi : 10.1016/j.crhy.2004.09.009. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2004.09.009/

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