Integrability and Holographic Aspects of Six-Dimensional $\mathcal{N}=(1,0)$ Superconformal Field Theories

Abstract

In the framework of six-dimensional conformal field theories with $\mathcal{N}=(1,0)$ supersymmetry we develop the map between the holographic description, the field theoretical description and the associated Hanany-Witten set-ups. General expressions that calculate various observables are presented. The study of string solitons singles out a special background of Massive IIA on which we show (by explicitly finding a Lax pair) that the Neveu-Schwarz part of the string sigma model is classically integrable. We study the particular dual conformal field theory and compute some of its observables.

25 pages plus appendixes. Various figures. Appendix C ammended, typo's fixed

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• Non-integrability of the $\Omega$-deformation
• Universal Pieces of Holographic Entanglement Entropy and Holographic Subregion Complexity
• Non-integrability for $\mathcal{N}=1$ SCFTs in $5d$
• Analytic (non)integrability of Arutyunov-Bassi-Lacroix model