A Secret Symmetry of the AdS/CFT S-matrix

TL;DR

This paper uncovers a new quantum Yangian symmetry in the AdS/CFT S-matrix, expanding the known symmetry algebra and revealing a structure without classical Lie algebra analogs.

Contribution

It introduces a novel quantum Yangian symmetry that extends the su(2|2) symmetry to gl(2|2), not previously identified at the quantum level.

Findings

Discovery of a new quantum Yangian symmetry in the AdS/CFT S-matrix

Extension of su(2|2) to gl(2|2) symmetry algebra

Identification of a symmetry without classical Lie algebra counterpart

Abstract

We find a new quantum Yangian symmetry of the AdS/CFT S-matrix, which complements the original su(2|2) symmetry to gl(2|2) and does not have a Lie algebra analog. Our finding is motivated by the Yangian double structure discovered at the classical level.