The Hasse Diagram of the Moduli Space of Instantons

TL;DR

This paper investigates the structure of the moduli space of instantons through Hasse diagrams, introducing new techniques and the concept of decorated quivers to analyze complex unitary quivers with adjoint matter.

Contribution

It introduces the concept of decorated quivers and refines existing techniques to analyze the Hasse diagram of the instanton moduli space.

Findings

Developed methods using partial Higgs mechanism, brane systems, and quiver subtraction.

Introduced decorated quivers for complex unitary quivers.

Enhanced understanding of the structure of the instanton moduli space.

Abstract

Hasse diagrams (or phase diagrams) for moduli spaces of supersymmetric field theories have been intensively studied in recent years, and many tools to compute them have been developed. The moduli space of instantons, despite being well studied, has proven difficult to deal with. In this note we explore the Hasse diagram of this moduli space from several perspectives -- using the partial Higgs mechanism, using brane systems and using quiver subtraction -- having to refine previously developed techniques. In particular we introduce the new concept of decorated quiver, which allows to deal with a large class of unitary quivers, including those with adjoint matter.