The non-Integrability of Strings in Massive Type IIA and their Holographic duals

TL;DR

This paper demonstrates that string dynamics in Massive IIA backgrounds dual to six-dimensional ${ m f N}=(1,0)$ SCFTs are non-integrable and chaotic, providing evidence for the non-integrability of the dual conformal field theories.

Contribution

It analytically and numerically shows non-integrability and chaos in string soliton dynamics in Massive IIA backgrounds, linking to dual SCFT properties.

Findings

String Hamiltonian systems are non-integrable and chaotic.

Numerical analysis confirms chaos via power spectra, Lyapunov exponents, and Poincaré sections.

Supports non-integrability of dual 6D SCFTs.

Abstract

In this work we study various aspects of six-dimensional ${\cal N}=(1,0)$ SCFTs. We consider the construction of their string duals in Massive IIA and discuss some observables in given examples. We study the dynamics of string solitons wrapping and rotating on the Massive IIA background and show that the associated Hamiltonian system is both non-integrable and chaotic, implying the non-integrability of the dual CFT. Our procedure is analytic, using well developed mathematical techniques, and numerical, by the explicit calculation of power spectra, Lyapunov coefficients and Poincar\'e sections.