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

Abstract

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

arXiv comment1+23 pages; 15 Figs; Major revision; v3; Accepted to Nucl. Phys. B

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• Evidence for a $4$-dimensional $\mathcal{N}=1$ integrable quiver in massive type IIA