Analytic Non-integrability in String Theory

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.

14 pages

References in corpus (4)

• Chaos Rules out Integrability of Strings in AdS_5 x T^{1,1}
• Chaos in the Gauge/Gravity Correspondence
• Integrability Lost
• Near-flat space limit and Einstein manifolds

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