A note on instanton operators, instanton particles, and supersymmetry

TL;DR

This paper clarifies the role of instanton operators in 5D supersymmetric gauge theories, showing their supersymmetric nature in the pointlike limit and their connection to instantonic states and zero modes.

Contribution

It demonstrates how instanton operators become supersymmetric in the pointlike limit and links them to instantonic states and zero mode counting in 5D theories.

Findings

Instanton operators are supersymmetric in the pointlike limit.

They serve as a bridge to instantonic states contributing to the index.

Zero mode counting relates to broken current multiplets.

Abstract

We clarify certain aspects of instanton operators in five-dimensional supersymmetric gauge theories. In particular, we show how, in the pointlike limit, they become supersymmetric and provide the natural bridge with the instantonic states contributing to the index as well as with the zero mode counting leading to broken current multiplets.