D-branes on Calabi-Yau Manifolds and Superpotentials

TL;DR

This paper develops a method using linear sigma models to compute superpotentials for D-branes on Calabi-Yau manifolds, revealing insights into their geometric and obstruction properties.

Contribution

It introduces a novel computational approach for D-brane superpotentials on Calabi-Yau manifolds, linking physical models with geometric and obstruction theory.

Findings

Superpotential terms can be computed using linear sigma models.

The superpotential encodes geometric and obstruction data.

Examples demonstrate the method's effectiveness.

Abstract

We show how to compute terms in an expansion of the world-volume superpotential for fairly general D-branes on the quintic Calabi-Yau using linear sigma model techniques, and show in examples that this superpotential captures the geometry and obstruction theory of bundles and sheaves on this Calabi-Yau.