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

Understand

We consider a circular string in $\hat{\gamma}$ 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 $\hat{\gamma}$.
• We further show that the point like object exhibits non-chaotic behaviour.