Manifestly Covariant Actions for D=4 Self-Dual Yang-Mills and D=10 Super-Yang-Mills

TL;DR

This paper develops manifestly covariant actions for D=4 self-dual Yang-Mills and D=10 super-Yang-Mills theories using an infinite number of fields, extending previous covariant formulations.

Contribution

It introduces new covariant actions for these theories that maintain Lorentz and super-Poincaré invariance, generalizing earlier chiral boson actions.

Findings

Constructed covariant actions for D=4 self-dual Yang-Mills

Extended covariant actions to D=10 super-Yang-Mills

Maintained manifest Lorentz and super-Poincaré invariance

Abstract

Using an infinite number of fields, we construct actions for D=4 self-dual Yang-Mills with manifest Lorentz invariance and for D=10 super-Yang-Mills with manifest super-Poincar\'e invariance. These actions are generalizations of the covariant action for the D=2 chiral boson which was first studied by McClain, Wu, Yu and Wotzasek.