# Test of the Anti-de Sitter-Space/Conformal-Field-Theory Correspondence Using High-Spin Operators

## Abstract

In two remarkable recent papers the planar perturbative expansion was proposed for the universal function of the coupling appearing in the dimensions of high-spin operators of the N=4 super Yang-Mills theory. We study numerically the integral equation derived by Beisert, Eden, and Staudacher, which resums the perturbative series. In a confirmation of the anti-de Sitter-space/conformal-field-theory (AdS/CFT) correspondence, we find a smooth function whose two leading terms at strong coupling match the results obtained for the semiclassical folded string spinning in AdS{sub 5}. We also make a numerical prediction for the third term in the strong coupling series.

- Authors:

- Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08544 (United States)
- (United States)

- Publication Date:

- OSTI Identifier:
- 20951177

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review Letters; Journal Volume: 98; Journal Issue: 13; Other Information: DOI: 10.1103/PhysRevLett.98.131603; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANTI DE SITTER SPACE; CONFORMAL INVARIANCE; FUNCTIONS; INTEGRAL EQUATIONS; QUANTUM FIELD THEORY; SEMICLASSICAL APPROXIMATION; SPIN; STRONG-COUPLING MODEL; YANG-MILLS THEORY

### Citation Formats

```
Benna, M. K., Benvenuti, S., Klebanov, I. R., Scardicchio, A., and Princeton Center for Theoretical Physics, Princeton University, Princeton, New Jersey 08544.
```*Test of the Anti-de Sitter-Space/Conformal-Field-Theory Correspondence Using High-Spin Operators*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVLETT.98.131603.

```
Benna, M. K., Benvenuti, S., Klebanov, I. R., Scardicchio, A., & Princeton Center for Theoretical Physics, Princeton University, Princeton, New Jersey 08544.
```*Test of the Anti-de Sitter-Space/Conformal-Field-Theory Correspondence Using High-Spin Operators*. United States. doi:10.1103/PHYSREVLETT.98.131603.

```
Benna, M. K., Benvenuti, S., Klebanov, I. R., Scardicchio, A., and Princeton Center for Theoretical Physics, Princeton University, Princeton, New Jersey 08544. Fri .
"Test of the Anti-de Sitter-Space/Conformal-Field-Theory Correspondence Using High-Spin Operators". United States.
doi:10.1103/PHYSREVLETT.98.131603.
```

```
@article{osti_20951177,
```

title = {Test of the Anti-de Sitter-Space/Conformal-Field-Theory Correspondence Using High-Spin Operators},

author = {Benna, M. K. and Benvenuti, S. and Klebanov, I. R. and Scardicchio, A. and Princeton Center for Theoretical Physics, Princeton University, Princeton, New Jersey 08544},

abstractNote = {In two remarkable recent papers the planar perturbative expansion was proposed for the universal function of the coupling appearing in the dimensions of high-spin operators of the N=4 super Yang-Mills theory. We study numerically the integral equation derived by Beisert, Eden, and Staudacher, which resums the perturbative series. In a confirmation of the anti-de Sitter-space/conformal-field-theory (AdS/CFT) correspondence, we find a smooth function whose two leading terms at strong coupling match the results obtained for the semiclassical folded string spinning in AdS{sub 5}. We also make a numerical prediction for the third term in the strong coupling series.},

doi = {10.1103/PHYSREVLETT.98.131603},

journal = {Physical Review Letters},

number = 13,

volume = 98,

place = {United States},

year = {Fri Mar 30 00:00:00 EDT 2007},

month = {Fri Mar 30 00:00:00 EDT 2007}

}

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