T-Duality, Dual Conformal Symmetry and Integrability for Strings on AdS_5 x S^5

TL;DR

This paper explores the classical symmetries underlying integrability and dual conformal symmetry in superstrings on AdS_5 x S^5, revealing their interconnected nature through super-T-self-duality.

Contribution

It demonstrates how conformal and integrable charges are related to dual symmetries via super-T-self-duality in the context of superstrings on AdS_5 x S^5.

Findings

Explicit relation between conformal and dual charges.

Connection between integrability and dual superconformal symmetry.

Super-T-self-duality links classical symmetries.

Abstract

In recent years two intriguing observations have been made for N=4 super Yang-Mills theory and for superstrings on AdS5xS5: In the planar limit the computation of the spectrum is vastly simplified by the apparent integrability of the models. Furthermore, planar scattering amplitudes of the gauge theory display remarkable features which have been attributed to the appearance of a dual superconformal symmetry. Here we review the connection of these two developments from the point of view of the classical symmetry by means of a super-T-self-duality. In particular, we show explicitly how the charges of conformal symmetry and of the integrable structure are related to the dual ones.