Chiral Soft Algebras for $\mathcal{N} = 2$ Gauge Theory

TL;DR

This paper explores the infrared geometric structure of $ =2$ gauge theories, integrating classical moduli space results with recent discoveries of vacua linked to soft theorems and asymptotic symmetries.

Contribution

It initiates a comprehensive framework combining Seiberg-Witten moduli spaces with new infrared vacua related to soft theorems and asymptotic symmetries.

Findings

Connection between classical moduli spaces and infrared vacua established

Preliminary steps towards a unified infrared geometric picture

Insights into the structure of vacua in $ =2$ gauge theories

Abstract

Some time ago, Seiberg and Witten solved for moduli spaces of vacua parameterized by scalar vacuum expectation values in $\mathcal{N}=2$ gauge theories. More recently, new vacua associated to soft theorems and asymptotic symmetries have been found. This paper takes some first steps towards a complete picture of the infrared geometry of $\mathcal{N}=2$ gauge theory incorporating both of these infrared structures.