Branes at angles, torons, stability and supersymmetry

TL;DR

This paper explores the relationship between branes at angles and flux-carrying branes in tori, focusing on their charges, spectra, and supersymmetry conditions, highlighting duality and stability criteria.

Contribution

It provides a detailed analysis of the duality between branes at angles and fluxed branes, especially regarding supersymmetry and stability conditions, with new insights into their correspondence.

Findings

Supersymmetry conditions depend on angles in one picture and flux corrections in the dual.

Stability criteria involve modified Hermite Yang-Mills equations.

The duality relates geometric intersection angles to flux configurations.

Abstract

We elucidate some properties of the relation between two T-dual systems in tori, branes at angles and branes wrapping the whole torus carrying fluxes. We analyze different features of these systems: charges, low energy spectrum, tadpole cancellation, symmetry groups, ... and the correspondence between the two viewpoints. Particular attention is paid to supersymmetry and stability conditions. While on the branes at angles side stability and supersymmetry can be expressed as conditions on the angles between the two branes at the intersection, on the dual side supersymmetry has to do with a correction to Hermite Yang-Mills and a modified notion of stability should be considered.