Non-integrability for $ \mathcal{N}=1 $ SCFTs in $ 5d $

TL;DR

This paper investigates the integrability properties of five-dimensional $ ext{SCFTs}$ with $ ext{N}=1$ supersymmetry using classical string solutions, revealing non-integrable and chaotic dynamics in certain sectors.

Contribution

It applies Liouvillian non-integrability criteria to 5d $ ext{SCFTs}$ and combines analytic and numerical methods to demonstrate chaos in string dynamics within these theories.

Findings

Identification of non-integrable structures in 5d $ ext{SCFTs}$

Evidence of chaos through numerical chaos indicators

Confirmation of non-integrability via semi-classical string analysis

Abstract

We explore the \emph{Liouvillian} non-integrability criteria for long quiver gauge theories those preserve $ \mathcal{N}=1 $ SUSY in $ 5d $. We probe type IIB solutions with (an $ AdS_6 $ factor) semi-classical strings which capture the strong coupling dynamics of $ \mathcal{N}=1 $ SCFTs in $ 5d $. Our analysis reveals an underlying non-integrable structure within some sub-sector of these $ 5d $ SCFTs. To solidify our claim, we complement our analytic results through numerics. We estimate various chaos indicators for the phase space which confirm the onset of a \emph{chaotic} motion for these type IIB strings.