# Anomaly matching on the Higgs branch

## TL;DR

This paper demonstrates that anomaly matching can almost always determine the full anomaly polynomial of certain supersymmetric theories assuming their Higgs branch is a one-instanton moduli space, simplifying calculations of central charges.

## Contribution

It introduces a method using anomaly matching to compute anomaly polynomials for supersymmetric theories with specific Higgs branches, including previously unknown theories.

## Key findings

- Simplifies computation of central charges for known theories.
- Provides new insights into the structure of unknown theories.
- Applies to theories in 2d, 4d, and 6d.

## Abstract

We point out that we can almost always determine by the anomaly matching the full anomaly polynomial of a supersymmetric theory in 2d, 4d or 6d if we assume that its Higgs branch is the one-instanton moduli space of some group G. This method not only provides by far the simplest method to compute the central charges of known theories of this class, e.g. 4d E_{6,7,8} theories of Minahan and Nemeschansky or the 6d E-string theory, but also gives us new pieces of information about unknown theories of this class.