Analytic Non-integrability in String Theory
High Energy Physics - Theory
2011-09-08 v1
Abstract
Using analytic techniques developed for Hamiltonian dynamical systems we show that a certain classical string configurations in AdS_5 x X_5 with X_5 in a large class of Einstein spaces, is non-integrable. This answers the question of integrability of string on such backgrounds in the negative. We consider a string localized in the center of AdS_5 that winds around two circles in the manifold X_5.
Cite
@article{arxiv.1105.2540,
title = {Analytic Non-integrability in String Theory},
author = {Pallab Basu and Leopoldo A. Pando Zayas},
journal= {arXiv preprint arXiv:1105.2540},
year = {2011}
}
Comments
14 pages