Five-dimensional topologically twisted maximally supersymmetric Yang-Mills theory

TL;DR

This paper studies a five-dimensional topologically twisted maximally supersymmetric Yang-Mills theory on manifolds of the form M_4 x I, providing its complete action and demonstrating invariance under two scalar supersymmetries.

Contribution

It explicitly constructs the complete bulk action for the five-dimensional twisted theory and proves its invariance under scalar supersymmetries, extending Witten's 2011 formulation.

Findings

Complete bulk action derived and presented.

Proven invariance under two scalar supersymmetries.

Framework applicable to manifolds of the form M_4 x I.

Abstract

Herein, we consider a topologically twisted version of maximally supersymmetric Yang-Mills theory in five dimensions which was introduced by Witten in 2011. We consider this theory on a five manifold of the form M_4 x I for M_4 an oriented Riemannian four manifold. The complete and unique action of the theory in bulk is written down and is shown to be invariant under two scalar supersymmetries.