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

## TL;DR

This paper explores the holographic duality of six-dimensional ${
m N}=(1,0)$ superconformal field theories, demonstrating classical integrability of the string sigma model and analyzing related observables.

## Contribution

It establishes a detailed correspondence between holographic, field theoretical, and Hanany-Witten descriptions, and proves classical integrability in a specific Massive IIA background.

## Key findings

- Identifies a special Massive IIA background with integrable string sigma model.
- Provides explicit expressions for calculating observables in the dual CFT.
- Shows the Neveu-Schwarz sector of the sigma model is classically integrable.

## Abstract

In the framework of six-dimensional conformal field theories with ${\cal N}=(1,0)$ 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.