The Anatomy of Gauge/String Duality in Lunin-Maldacena Background
Abstract
We consider the correspondence between the spinning string solutions in Lunin-Maldacena background and the single trace operators in the Leigh-Strassler deformation of N=4 SYM. By imposing an appropriate rotating string ans\"atz on the Landau-Lifshitz reduced sigma model in the deformed SU(2) sector, we find two types of `elliptic' solutions with two spins, which turn out to be the solutions associated with the Neumann-Rosochatius system. We then calculate the string energies as functions of spins, and obtain their explicit forms in terms of a set of moduli parameters. On the deformed spin-chain side, we explicitly compute the one-loop anomalous dimensions of the gauge theory operators dual to each of the two types of spinning string solutions, extending and complementing the results of hep-th/0511164. Moreover, we propose explicit ans\"atze on how the locations of the Bethe strings are affected due to the deformation, with several supports from the string side.
Keywords
Cite
@article{arxiv.hep-th/0601109,
title = {The Anatomy of Gauge/String Duality in Lunin-Maldacena Background},
author = {Heng-Yu Chen and Keisuke Okamura},
journal= {arXiv preprint arXiv:hep-th/0601109},
year = {2009}
}
Comments
1+31 pages, 3 figures, references added, typos corrected, discussion on constraints and free parameters in spin-chain analysis added and corrected