Integrability and holographic aspects of six-dimensional $$ \mathcal{N}=\left(1,\ 0\right) $$ superconformal field theories

Abstract

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