Semiclassical relativistic strings in $ {\mathit{AdS}}_{5}\times {S}^{5}$ and long scalar operators in $ \mathcal{N}=4$ SYM theory

Arkady A. Tseytlin

doi:10.1016/j.crhy.2004.09.009

String theory and fundamental forces/Théorie des cordes et forces fondamentales

Semiclassical relativistic strings in

{AdS}_{5} \times S^{5}

and long scalar operators in

N = 4

SYM theory
[Cordes relativistes semi-classiques dans

A d S_{5} \times S^{5}

et longs opérateurs dans la théorie de super Yang–Mills

N = 4

.]

Présenté par : Guy Laval

Arkady A. Tseytlin ¹

¹ Physics Department, The Ohio State University, Columbus, OH43210-1106, USA

Comptes Rendus. Physique, String theory and fundamental forces - Strings 04, part I, Volume 5 (2004) no. 9-10, pp. 1049-1059.

Abstract (VO)
Résumé

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 ${AdS}_{5} \times S^{5}$ string action and from an integrable spin chain Hamiltonian representing the SYM dilatation operator.

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 ${AdS}_{5} \times S^{5}$ et de l'Hamiltonien d'une chaîne de spin intégrable représentant l'opérateur de dilatation en SYM.

Publié le : 2004-11-01

DOI : 10.1016/j.crhy.2004.09.009

Keywords: AdS/CFT duality, Super Yang–Mills operators
Mots-clés : Dualité AdS/CFT, Théorie de super Yang–Mills

Affiliations des auteurs :

Arkady A. Tseytlin ¹

¹ Physics Department, The Ohio State University, Columbus, OH43210-1106, USA

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     author = {Arkady A. Tseytlin},
     title = {Semiclassical relativistic strings in $ {\mathit{AdS}}_{5}\times {S}^{5}$ and long scalar operators in $ \mathcal{N}=4$ {SYM} theory},
     journal = {Comptes Rendus. Physique},
     pages = {1049--1059},
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     volume = {5},
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     year = {2004},
     doi = {10.1016/j.crhy.2004.09.009},
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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, String theory and fundamental forces - Strings 04, part I, 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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