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arXiv · 1802.04269

The non-Integrability of Strings in Massive Type IIA and their Holographic duals

Carlos Nunez·Jose Manuel Penin·Dibakar Roychowdhury·Jeroen van Gorsel
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Abstract

In this work we study various aspects of six-dimensional ${\cal N}=(1,0)$ SCFTs. We consider the construction of their string duals in Massive IIA and discuss some observables in given examples. We study the dynamics of string solitons wrapping and rotating on the Massive IIA background and show that the associated Hamiltonian system is both non-integrable and chaotic, implying the non-integrability of the dual CFT. Our procedure is analytic, using well developed mathematical techniques, and numerical, by the explicit calculation of power spectra, Lyapunov coefficients and Poincaré sections.

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Carlos Nunez, Jose Manuel Penin, Dibakar Roychowdhury, Jeroen van Gorsel. 2018-04-18. The non-Integrability of Strings in Massive Type IIA and their Holographic duals. https://doi.org/10.1007/jhep06(2018)078

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