BPS states and algebras from quivers

TL;DR

This paper explores the structure of BPS states and their algebras using quivers, focusing on D-brane moduli spaces, decay processes, and stability conditions in string theory compactifications.

Contribution

It introduces a procedure to analyze BPS decay products and defines BPS state algebras via quivers, extending results to general moduli space points with Pi-stability.

Findings

Explicit analysis of BPS spectra near orbifold points

Procedure for determining decay products on lines of marginal stability

Extension of results to arbitrary moduli space points

Abstract

We discuss several aspects of D-brane moduli spaces and BPS spectra near orbifold points. We give a procedure to determine the decay products on a line of marginal stability, and we define the algebra of BPS states in terms of quivers. These issues are illustrated in detail in the case of type IIA theory on C^2/Z_N. We also show that many of these results can be extended to arbitrary points in the compactification moduli space using Pi-stability.