Quantum strings in AdS5 x S5 and AdS/CFT duality

TL;DR

This paper reviews recent advances in understanding the energy spectrum of strings in AdS5 x S5 within the AdS/CFT duality, focusing on strong coupling corrections to the Konishi operator's anomalous dimension.

Contribution

It provides a detailed analysis of strong coupling corrections to string energies and their relation to operator dimensions in N=4 SYM, using semiclassical string state calculations.

Findings

Determined the structure of strong-coupling expansion for Konishi operator anomalous dimension.

Extracted leading coefficients in the strong-coupling expansion using 1-loop semiclassical results.

Connected string energy corrections to gauge theory operator dimensions.

Abstract

We review some recent progress in understanding the spectrum of energies/dimensions of strings/operators in AdS5 x S5 -- planar N=4 super Yang-Mills correspondence. We consider leading strong coupling corrections to the energy of lightest massive string modes in AdS5 x S5, which should be dual to members of the Konishi operator multiplet in the SYM theory. This determines the general structure of strong-coupling expansion of the anomalous dimension of the Konishi operator. Following arXiv:0906.4294 we use 1-loop results for semiclassical string states to extract information about the leading coefficients in this expansion.