Branes, Bundles and Attractors: Bogomolov and Beyond

TL;DR

This paper explores conjectures related to the attractor mechanism in string theory, providing conditions for Chern classes to correspond to stable holomorphic vector bundles on Calabi-Yau threefolds.

Contribution

It offers new sufficient conditions for Chern classes to be associated with stable bundles, advancing understanding in string theory and algebraic geometry.

Findings

Sufficient conditions for Chern classes to correspond to stable bundles

Connections between attractor mechanism and vector bundle stability

Insights into the structure of holomorphic bundles on Calabi-Yau threefolds

Abstract

We discuss conjectures following from the attractor mechanism in type II string theory about the possible Chern classes of stable holomorphic vector bundles on Calabi-Yau threefolds. In particular, we give sufficient conditions for Chern classes to correspond to stable bundles.