Chaos in classical string dynamics in $\hatγ$ deformed $AdS_5 \times T^{1,1}$

Kamal L. Panigrahi; Manoranjan Samal

doi:10.1016/j.physletb.2016.08.021

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arXiv · 1605.05638

Chaos in classical string dynamics in $\hatγ$ deformed $AdS_5 \times T^{1,1}$

Kamal L. Panigrahi·Manoranjan Samal

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Abstract

We consider a circular string in $\hatγ$ deformed $AdS_5 \times T^{1,1}$ which is localized in the center of $AdS_5$ and winds around the two circles of deformed $T^{1,1}$. We observe chaos in the phase space of the circular string implying non-integrability of string dynamics. The chaotic behaviour in phase space is controlled by energy as well as the deforming parameter $\hatγ$. We further show that the point like object exhibits non-chaotic behaviour. Finally we calculate the Lyapunov exponent for both extended and point like object in support of our first result.

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Kamal L. Panigrahi, Manoranjan Samal. 2016-05-18. Chaos in classical string dynamics in $\hatγ$ deformed $AdS_5 \times T^{1,1}$. https://doi.org/10.1016/j.physletb.2016.08.021

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