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

Abstract

In this work we study various aspects of six-dimensional $\mathcal{N}=(1,0)$ 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 Poincaré sections.

28 pages plus appendices. Various figures. Some clarifications and references added

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Cited by in corpus (39)

• Two dimensional $\mathcal{N}=(0,4)$ quivers dual to AdS${}_3$ solutions in massive IIA
• 1/4 BPS AdS${}_3$/CFT${}_2$
• AdS${}_3$ solutions in massive IIA, defect CFTs and T-duality
• Integrability and non-Integrability in N=2 SCFTs and their Holographic Backgrounds
• Integrability and Holographic Aspects of Six-Dimensional $\mathcal{N}=(1,0)$ Superconformal Field Theories
• Revisiting the classifications of 6d SCFTs and LSTs
• Violation of bound on chaos for charged probe in Kerr-Newman-AdS black hole
• ${\text{AdS}}_2\times {\text{S}}^2\times {\text{CY}}_2$ solutions in Type IIB with 8 supersymmetries
• The non-integrability of $L^{a,b,c}$ quiver gauge theories
• Non-integrability on AdS${}_3$ supergravity backgrounds
• Charges and holography in 6d (1,0) theories
• Holographic description of SCFT${}_5$ compactifications
• The bound on chaos for closed strings in Anti-de Sitter black hole backgrounds
• Nonrelativistic pulsating strings
• Consistent truncations of supergravity and $\frac{1}{2}$-BPS RG flows in $4d$ SCFTs
• Non-integrability in AdS${}_3$ vacua
• Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
• Chaotic spin chains in AdS/CFT
• Constraining integrable AdS/CFT with factorized scattering
• Chaos Bound and its violation in Black p-brane
• Probing analytical and numerical integrability: The curious case of $(Ad{S}_5\times S^5{)}_{\eta }$
• Analytic Non-Integrability and S-Matrix Factorization
• Fragmentation and defragmentation of strings in type IIA and their holographic duals
• Integrability and non-integrability for marginal deformations of 4d $\mathcal{N}=2$ SCFTs
• Non-integrability of the $\Omega$-deformation
• Non-integrability for $\mathcal{N}=1$ SCFTs in $5d$
• Comments on non-Abelian T-duals and their holographic description
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• Complexity and Operator Growth in Holographic 6d SCFTs
• Correlation functions for open strings and chaos
• Evidence for a $4$-dimensional $\mathcal{N}=1$ integrable quiver in massive type IIA
• Integrability and non-integrability for holographic dual of Matrix model and non-Abelian T-dual of AdS${}_5\times$S${}^5$
• The conformal brane-scan: an update
• Analytic (non)integrability of Arutyunov-Bassi-Lacroix model
• Saturation of Chaos Bound in a Phenomenological Rotating Black Hole--Effective Matter System at Low-Temperature Limit
• Bound on the Lyapunov exponent in Kerr-Newman black holes via a charged particle
• Factorised scattering and (non)integrability for marginally deformed $Ad{S}_5/CF{T}_4$
• New AdS${}_3$/CFT${}_2$ pairs in massive IIA with $(0,4)$ and $(4,4)$ supersymmetries
• Holographic zero sound for $\mathcal{N}=2$ SCFTs in 4d