Secret Symmetries of Type IIB Superstring Theory on AdS3 x S3 x M4

TL;DR

This paper investigates secret Yangian symmetries in AdS3 x S3 x M4 superstring backgrounds, revealing two classes of generators and their properties, thus extending the understanding of integrable structures in AdS/CFT correspondence.

Contribution

It identifies and characterizes two distinct classes of secret Yangian symmetry generators in AdS3 backgrounds, including their algebraic embedding and crossing properties, and introduces a new RTT-realisation approach.

Findings

Discovery of two classes of secret symmetry generators.

Verification of symmetry properties respecting crossing symmetry.

Establishment of a new RTT-realisation of the Yangian in AdS3.

Abstract

We establish features of so-called Yangian secret symmetries for AdS3 type IIB superstring backgrounds thus verifying the persistence of such symmetries to this new instance of the AdS/CFT correspondence. Specifically, we find two a priori different classes of secret symmetry generators. One class of generators, anticipated from the previous literature, is more naturally embedded in the algebra governing the integrable scattering problem. The other class of generators is more elusive, and somewhat closer in its form to its higher-dimensional AdS5 counterpart. All of these symmetries respect left-right crossing. In addition, by considering the interplay between left and right representations, we gain a new perspective on the AdS5 case. We also study the RTT-realisation of the Yangian in AdS3 backgrounds thus establishing a new incarnation of the Beisert-de Leeuw construction.