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arXiv · 1105.2540

Analytic Non-integrability in String Theory

Pallab Basu·Leopoldo A. Pando Zayas
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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.

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Pallab Basu, Leopoldo A. Pando Zayas. 2011-05-12. Analytic Non-integrability in String Theory. https://doi.org/10.1103/physrevd.84.046006

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