On infinite-dimensional algebras of symmetries of the self-dual Yang–Mills equations

Abstract

Infinite-dimensional algebras of hidden symmetries of the self-dual Yang–Mills equations are considered. A current-type algebra of symmetries and an affine extension of conformal symmetries introduced recently are discussed using the twistor picture. It is shown that the extended conformal symmetries of the self-dual Yang–Mills equations have a simple description in terms of Ward’s twistor construction.