Symmetries of Self-Dual Yang-Mills Equations Dimensionally Reduced From (2,2) Space-time

TL;DR

This paper constructs infinite-dimensional symmetries for a two-dimensional equation derived from the self-duality condition in (2,2) space-time, applicable off-shell in the reduced Chalmers-Siegel action.

Contribution

It identifies and constructs infinite-dimensional symmetries of the dimensionally reduced self-dual Yang-Mills equations in (2,2) signature space-time.

Findings

Infinite-dimensional symmetries of the reduced equations

Symmetries hold off-shell in the Chalmers-Siegel action

Extension of symmetry understanding in self-dual Yang-Mills theories

Abstract

We construct infinite-dimensional symmetries of the two dimensional equation which results from the dimensional reduction of the self-duality condition in (2, 2) signature space-time. These are symmetries of the dimensionally reduced Chalmers-Siegel action and so hold off-shell.