Spinning strings in AdS_3 x S^3 with NS-NS flux
Abstract
The sigma model describing closed strings rotating in AdS_3 x S^3 is known to reduce to the one-dimensional Neumann-Rosochatius integrable system. In this article we show that closed spinning strings in AdS_3 x S^3 x T^4 in the presence of NS-NS three-form flux can be described by an extension of the Neumann-Rosochatius system. We consider closed strings rotating with one spin in AdS_3 and two different angular momenta in S^3. For a class of solutions with constant radii we find the dependence of the classical energy on the spin and the angular momenta as an expansion in the square of the 't Hooft coupling of the theory.
Keywords
Cite
@article{arxiv.1407.7475,
title = {Spinning strings in AdS_3 x S^3 with NS-NS flux},
author = {Rafael Hernandez and Juan Miguel Nieto},
journal= {arXiv preprint arXiv:1407.7475},
year = {2015}
}
Comments
14 pages. Latex. v2: Equations (3.19) and (3.28) corrected and reference added. v3: Expanded discussion on the WZW limit and additional references. Published version. v4: Misprints corrected