Branes Intersecting at Angles

TL;DR

This paper explores supersymmetry preservation in intersecting D-brane configurations, introduces a generalized holonomy condition, and discusses the emergence of 4D chiral fermions at brane intersections.

Contribution

It demonstrates that SU(N) rotated D-branes can preserve supersymmetry and relates this to a generalized holonomy condition, extending understanding of brane intersections.

Findings

Supersymmetry is preserved in intersecting D-brane configurations related by SU(N) rotations.

A new condition involving generalized holonomy groups is proposed for unbroken supersymmetry.

Method to obtain 4D chiral fermions at D-brane intersections is discussed.

Abstract

We show that configurations of multiple D-branes related by SU(N) rotations will preserve unbroken supersymmetry. This includes cases in which two D-branes are related by a rotation of arbitrarily small angle, and we discuss some of the physics of this. In particular, we discuss a way of obtaining 4D chiral fermions on the intersection of D-branes. We also rephrase the condition for unbroken supersymmety as the condition that a `generalized holonomy group' associated with the brane configuration and manifold is reduced, and relate this condition (in Type IIA string theory) to a condition in eleven dimensions.