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arxiv: 1105.2540 · v1 · pith:47CIMPO7new · submitted 2011-05-12 · ✦ hep-th

Analytic Non-integrability in String Theory

classification ✦ hep-th
keywords stringanalyticanswersaroundbackgroundscentercertaincircles
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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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