Analytic Non-integrability in String Theory

Details Analytic Non-integrability in String Theory Analytic Non-integrability in String Theory

2011-05-12

arxiv.org/abs/1105.2540v1

Phys.Rev.D84:046006,2011

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

10.1103/PhysRevD.84.046006

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.

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