Only the sinusoidal quiver α(z)=A sin(ωz) in the new massive type IIA AdS5 family shows no chaotic signatures, providing suggestive evidence for its classical integrability.
Integrability and non-integrability for holographic dual of Matrix model and non-Abelian T-dual of AdS$_5\times$S$^5$
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
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.
citation-role summary
background 1
citation-polarity summary
fields
hep-th 1years
2024 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Evidence for a $4$-dimensional $\mathcal{N}=1$ integrable quiver in massive type IIA
Only the sinusoidal quiver α(z)=A sin(ωz) in the new massive type IIA AdS5 family shows no chaotic signatures, providing suggestive evidence for its classical integrability.