Algebraic Curves for Integrable String Backgrounds
High Energy Physics - Theory
2015-03-17 v2
Abstract
Many Ramond-Ramond backgrounds which arise in the AdS/CFT correspondence are described by integrable sigma-models. The equations of motion for classical spinning strings in these backgrounds are exactly solvable by finite-gap integration techniques. We review the finite-gap integral equations and algebraic curves for coset sigma-models, and then apply the results to the AdS(d+1) backgrounds with d=4,3,2,1.
Keywords
Cite
@article{arxiv.1005.1342,
title = {Algebraic Curves for Integrable String Backgrounds},
author = {K. Zarembo},
journal= {arXiv preprint arXiv:1005.1342},
year = {2015}
}
Comments
33 pages, 8 figures, talk at "Gauge Fields. Yesterday, Today, Tomorrow", Moscow, 19-24.01.2010; v2: misprints in (4.8), (4.13) corrected, discussion of the quantum Bethe equations expanded