### Abstract

We consider leading strong coupling corrections to the energy of the lightest massive string modes in \adss, which should be dual to members of the Konishi operator multiplet in = 4 SYM theory. This determines the general structure of the strong-coupling expansion of the anomalous dimension of the Konishi operator. We use 1-loop results for several semiclassical string states to extract information about the leading coefficients in this expansion. Our prediction is Δ = 2λ ^{1/4}+b _{0}+b _{1}λ ^{-1/4}+b _{3}λ ^{-3/4}+..., where b _{0} and b _{1} are rational while b _{3} is transcendental (containing ζ(3)). Explicitly, we argue that b _{0} = Δ _{0}-4 (where Δ _{0} is the canonical dimension of the corresponding gauge-theory operator in the Konishi multiplet) and b _{1} = 1. Our conclusions are sensitive to few assumptions, implied by a correspondence with flat-space expressions, on how to translate semiclassical quantization results into predictions for the exact quantum string spectrum.

Original language | English (US) |
---|---|

Article number | 013 |

Journal | Journal of High Energy Physics |

Volume | 2009 |

Issue number | 11 |

DOIs | |

State | Published - Nov 25 2009 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Cite this

_{5}× S

^{5}: Strong-coupling corrections to dimension of Konishi operator.

*Journal of High Energy Physics*,

*2009*(11), [013]. https://doi.org/10.1088/1126-6708/2009/11/013

}

_{5}× S

^{5}: Strong-coupling corrections to dimension of Konishi operator',

*Journal of High Energy Physics*, vol. 2009, no. 11, 013. https://doi.org/10.1088/1126-6708/2009/11/013

**Quantum strings in AdS _{5} × S ^{5} : Strong-coupling corrections to dimension of Konishi operator.** / Roiban, Radu; Tseytlin, A. A.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Quantum strings in AdS 5 × S 5

T2 - Strong-coupling corrections to dimension of Konishi operator

AU - Roiban, Radu

AU - Tseytlin, A. A.

PY - 2009/11/25

Y1 - 2009/11/25

N2 - We consider leading strong coupling corrections to the energy of the lightest massive string modes in \adss, which should be dual to members of the Konishi operator multiplet in = 4 SYM theory. This determines the general structure of the strong-coupling expansion of the anomalous dimension of the Konishi operator. We use 1-loop results for several semiclassical string states to extract information about the leading coefficients in this expansion. Our prediction is Δ = 2λ 1/4+b 0+b 1λ -1/4+b 3λ -3/4+..., where b 0 and b 1 are rational while b 3 is transcendental (containing ζ(3)). Explicitly, we argue that b 0 = Δ 0-4 (where Δ 0 is the canonical dimension of the corresponding gauge-theory operator in the Konishi multiplet) and b 1 = 1. Our conclusions are sensitive to few assumptions, implied by a correspondence with flat-space expressions, on how to translate semiclassical quantization results into predictions for the exact quantum string spectrum.

AB - We consider leading strong coupling corrections to the energy of the lightest massive string modes in \adss, which should be dual to members of the Konishi operator multiplet in = 4 SYM theory. This determines the general structure of the strong-coupling expansion of the anomalous dimension of the Konishi operator. We use 1-loop results for several semiclassical string states to extract information about the leading coefficients in this expansion. Our prediction is Δ = 2λ 1/4+b 0+b 1λ -1/4+b 3λ -3/4+..., where b 0 and b 1 are rational while b 3 is transcendental (containing ζ(3)). Explicitly, we argue that b 0 = Δ 0-4 (where Δ 0 is the canonical dimension of the corresponding gauge-theory operator in the Konishi multiplet) and b 1 = 1. Our conclusions are sensitive to few assumptions, implied by a correspondence with flat-space expressions, on how to translate semiclassical quantization results into predictions for the exact quantum string spectrum.

UR - http://www.scopus.com/inward/record.url?scp=84856388458&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84856388458&partnerID=8YFLogxK

U2 - 10.1088/1126-6708/2009/11/013

DO - 10.1088/1126-6708/2009/11/013

M3 - Article

VL - 2009

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 11

M1 - 013

ER -

_{5}× S

^{5}: Strong-coupling corrections to dimension of Konishi operator. Journal of High Energy Physics. 2009 Nov 25;2009(11). 013. https://doi.org/10.1088/1126-6708/2009/11/013