Symmetries of the Self-Dual Sector of N=4 Super Yang-Mills on the Light Cone

TL;DR

This paper extends the construction of infinite-dimensional symmetries from non-supersymmetric to self-dual N=4 super Yang-Mills theory, revealing new symmetry structures in the light-cone formulation.

Contribution

It introduces a method to construct infinite-dimensional symmetries of self-dual N=4 super Yang-Mills using isometries, generalizing previous non-supersymmetric results.

Findings

Identifies infinite-dimensional symmetries in self-dual N=4 SYM

Extends symmetry construction methods to supersymmetric theories

Provides a framework for analyzing symmetries in light-cone formulations

Abstract

A recent paper proposes a way of constructing infinite dimensional symmetries of the non-supersymmetric self-dual Yang-Mills action using isometries of the space-time. We review the Lagrangian formulation of N = 4 super Yang-Mills MHV rules and extend the approach taken for the non-supersymmetric case to construct infinite dimensional symmetries of self-dual N = 4 super Yang-Mills.