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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• Holography for (1,0) theories in six dimensions
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• Anomaly polynomial of E-string theories
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Cited by in corpus (19)

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• The non-integrability of $L^{a,b,c}$ quiver gauge theories
• Electrostatic description of 3d $\mathcal{N}=4$ linear quivers
• 6D SCFTs, 4D SCFTs, Conformal Matter, and Spin Chains
• Holographic description of SCFT${}_5$ compactifications
• New AdS${}_2$ backgrounds and $\mathcal{N}=4$ Conformal Quantum Mechanics
• Non-integrability in AdS${}_3$ vacua
• Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
• Holography for 2d $\mathcal{N}=(0,4)$ quantum field theory
• Linear Quivers at Large-$N$
• Integrability and non-integrability for marginal deformations of 4d $\mathcal{N}=2$ SCFTs
• Universal Pieces of Holographic Entanglement Entropy and Holographic Subregion Complexity
• Non-integrability of the $\Omega$-deformation
• Non-integrability for $\mathcal{N}=1$ SCFTs in $5d$
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• Complexity and Operator Growth in Holographic 6d SCFTs
• Evidence for a $4$-dimensional $\mathcal{N}=1$ integrable quiver in massive type IIA
• Analytic (non)integrability of Arutyunov-Bassi-Lacroix model
• Non-Integrability of Strings in $Ad{S}_6\times S^2\times \Sigma$ Background and its 5D Holographic Duals