Conformal Symmetries of the Self-Dual Yang-Mills Equations

TL;DR

This paper uncovers an infinite-dimensional algebra of hidden symmetries in the self-dual Yang-Mills equations, linked to conformal transformations of four-dimensional space.

Contribution

It introduces a novel Kac-Moody-Virasoro algebra of symmetries for the equations, expanding understanding of their symmetry structure.

Findings

Identification of an infinite-dimensional symmetry algebra

Connection of symmetries to conformal transformations

Enhanced understanding of self-dual Yang-Mills structure

Abstract

We describe an infinite-dimensional Kac-Moody-Virasoro algebra of new hidden symmetries for the self-dual Yang-Mills equations related to conformal transformations of the 4-dimensional base space.