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In this paper we study integrability and non-integrability for type-IIAsupergravity background dual to deformed plane wave matrix model. From the bulkperspective, we estimate various chaos indicators that clearly shows chaoticstring dynamics in the limit of small value of the parameter $L$ present in thetheory. On the other hand, the string dynamics exhibits a non-chaotic motionfor the large value of the parameter $L$ and therefore presumably an underlyingintegrable structure. Our findings reveals that the parameter $L$ in thetype-IIA background acts as an interpolation between a non-integrable theory toan integrable theory in dual SCFTs.

Integrability and non-integrability for holographic dual of Matrix model and non-Abelian T-dual of AdS$_5\times$S$^5$