Classical Integrability in AdS/CFT

Abstract

Integrability based techniques are widely used to study AdS/CFT correspondences, for this reason to show Integrability of Superstring Theories that have a gauge dual is peculiarly interesting. I will focus on Classical Integrability of Superstring Theories on non maximally supersymmetric AdS backgrounds, that are involved in $AdS_n/CFT_{n−1}$ ($n=2,3,4$) correspondences, with a peculiar attention to the cases in which the GS superstring theory is not fully described by a supercoset sigma model