Supersymmetrizing 5d instanton operators

TL;DR

This paper develops a supersymmetric extension of instanton operators in five-dimensional Yang-Mills theories by generalizing the four-dimensional topologically twisted framework, ensuring the gauge configurations are supersymmetric.

Contribution

It introduces a novel supersymmetric construction of instanton operators in 5d Yang-Mills, extending the 4d topological twist to higher dimensions.

Findings

Successfully constructs supersymmetric instanton operators in 5d

Demonstrates the supersymmetry of gauge configurations in the generalized framework

Provides a foundation for further study of 5d supersymmetric gauge theories

Abstract

We construct a supersymmetric version of instanton operators in five-dimensional Yang-Mills theories. This is possible by considering a five-dimensional generalization of the familiar four-dimensional topologically twisted theory, where the gauge configurations corresponding to instanton operators are supersymmetric.