Yangian Symmetry in Holographic Correlators

TL;DR

This paper demonstrates that a broad class of holographic correlator building blocks exhibit Yangian symmetry, linking this symmetry to the underlying recursion relations that define their structure.

Contribution

It reveals that Yangian symmetry underpins an infinite class of holographic Witten diagrams and connects this symmetry to their recursive construction.

Findings

Yangian invariance applies to a large class of Witten diagrams

Recursion relations are consistent with Yangian symmetry

Yangian symmetry constrains holographic correlator structures

Abstract

We point out that an infinite class of Witten diagrams is invariant under a Yangian symmetry. These diagrams are building blocks of holographic correlators and are related by a web of differential recursion relations. We show that Yangian invariance is equivalent to the consistency conditions of the recursion relations.