An Elliptic Yangian-Invariant, `Leading Singularity'

TL;DR

This paper derives explicit formulas for elliptic leading singularities in planar maximally supersymmetric Yang-Mills theory, demonstrating their invariance under the Yangian symmetry, which is a key feature of integrability.

Contribution

It introduces the first explicit elliptic leading singularities in the theory and proves their Yangian invariance, expanding the understanding of integrable structures in gauge theories.

Findings

Explicit formulas for elliptic leading singularities

Proof of Yangian invariance of these singularities

Extension of integrability concepts in supersymmetric gauge theories

Abstract

We derive closed formulae for the first examples of non-algebraic, elliptic `leading singularities' in planar, maximally supersymmetric Yang-Mills theory and show that they are Yangian-invariant.