# $\mathcal{N} = 2$ super Yang-Mills theory in Projective Superspace

## TL;DR

This paper develops a formulation of $
abla=2$ supersymmetric Yang-Mills theory within Projective superspace, providing a new way to express the field strength and action that simplifies quantization and reduces correctly in the abelian case.

## Contribution

It introduces an explicit expression for the field strength in terms of an unconstrained prepotential in Projective superspace for $
abla=2$ super Yang-Mills theory.

## Key findings

- Derived a new expression for the field strength in terms of a prepotential.
- Formulated the action in terms of the prepotential.
- Confirmed the formulation reduces to known abelian results.

## Abstract

We find a formulation of $\mathcal{N}=2$ supersymmetric Yang-Mills theory in Projective superspace. In particular we find an expression for the field strength in terms of an unconstrained prepotential which is desirable when quantizing the theory. We use this to write the action in terms of the prepotential and show that it reduces to the known result in the abelian limit.