### 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) |
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Article number | 013 |

Journal | Journal of High Energy Physics |

Volume | 2009 |

Issue number | 11 |

DOIs | |

State | Published - 2009 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

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## 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