Quiver Structure of Heterotic Moduli

TL;DR

This paper models heterotic bundle moduli using quiver representations, linking geometric phenomena like stability walls and supersymmetry transitions to quiver theory, and computes related invariants via the Reineke formula.

Contribution

It introduces a quiver-based framework for analyzing heterotic moduli, connecting geometric stability phenomena with algebraic quiver representations and invariants.

Findings

Quiver representations encode stability walls and supersymmetry chambers.

Reineke formula computes Poincaré polynomial of quiver moduli.

Insights into Donaldson-Thomas invariants and instanton transitions.

Abstract

We analyse the vector bundle moduli arising from generic heterotic compactifications from the point of view of quiver representations. Phenomena such as stability walls, crossing between chambers of supersymmetry, splitting of non-Abelian bundles and dynamic generation of D-terms are succinctly encoded into finite quivers. By studying the Poincar\'e polynomial of the quiver moduli space using the Reineke formula, we can learn about such useful concepts as Donaldson-Thomas invariants, instanton transitions and supersymmetry breaking.