Large Winding Sector of AdS/CFT
Abstract
We study a family of classical strings on R x S^3 subspace of the AdS_5 x S^5 background that interpolates between pulsating strings and single-spike strings. They are obtained from the helical strings of hep-th/0609026 by interchanging worldsheet time and space coordinates, which maps rotating/spinning string states with large spins to oscillating states with large winding numbers. From a finite-gap perspective, this transformation is realised as an interchange of quasi-momentum and quasi-energy defined for the algebraic curve. The gauge theory duals are also discussed, and are identified with operators in the non-holomorphic sector of N=4 super Yang-Mills. They can be viewed as excited states above the ``antiferromagnetic'' state, which is ``the farthest from BPS'' in the spin-chain spectrum. Furthermore, we investigate helical strings on AdS_3 x S^1 in an appendix.
Cite
@article{arxiv.0709.4033,
title = {Large Winding Sector of AdS/CFT},
author = {Hirotaka Hayashi and Keisuke Okamura and Ryo Suzuki and Benoit Vicedo},
journal= {arXiv preprint arXiv:0709.4033},
year = {2009}
}
Comments
1+52 pages, 10 figures, v2: references and comments added, v3: minor changes and a reference added