Moduli and Brane Intersections

TL;DR

This paper explores the geometric and physical properties of intersecting D-branes, focusing on their moduli space, special Lagrangian embeddings, and implications for non-compact G_2 manifolds.

Contribution

It introduces a unified static gauge framework for intersecting D-branes and links their intersections to special Lagrangian three-surfaces and superpotentials.

Findings

Explicit solutions for intersecting D-branes are provided.

The intersection surfaces relate to non-Abelian superpotentials.

Implications for the existence of non-compact G_2 manifolds are discussed.

Abstract

We discuss the worldvolume description of intersecting D-branes, including the metric on the moduli space of deformations. We impose a choice of static gauge that treats all the branes on an equal footing and describes the intersection of D-branes as an embedded special Lagrangian three-surface. Some explicit solutions to these equations are given and their interpretation in terms of a superpotential on moduli space is discussed. These surfaces arise from flat direction of a non-Abelian superpotential and imply the existance of non-compact G_2 manifolds.