Classical/quantum integrability in non-compact sector of AdS/CFT
High Energy Physics - Theory
2009-11-10 v3 Exactly Solvable and Integrable Systems
Abstract
We discuss non-compact SL(2,R) sectors in N=4 SYM and in AdS string theory and compare their integrable structures. We formulate and solve the Riemann-Hilbert problem for the finite gap solutions of the classical sigma model and show that at one loop it is identical to the classical limit of Bethe equations of the spin (-1/2) chain for the dilatation operator of SYM.
Keywords
Cite
@article{arxiv.hep-th/0410105,
title = {Classical/quantum integrability in non-compact sector of AdS/CFT},
author = {V. A. Kazakov and K. Zarembo},
journal= {arXiv preprint arXiv:hep-th/0410105},
year = {2009}
}
Comments
27 pages, 1 figure; v2: unphysical windings around the time direction eliminated; v3: dicsussion of finite-size corrections removed