D-branes on the Quintic

TL;DR

This paper explores D-branes on the quintic Calabi-Yau manifold by integrating geometric, stringy, and conformal field theory approaches to understand their properties and compute related superpotentials.

Contribution

It combines multiple methods to analyze D-branes on the quintic, including geometric, mirror symmetry, and boundary state techniques, advancing the understanding of their stringy behavior.

Findings

Sketches a comprehensive picture of D-branes in the stringy regime

Initiates computation of superpotentials on D-brane world-volumes

Connects geometric and conformal field theory approaches

Abstract

We study D-branes on the quintic CY by combining results from several directions: general results on holomorphic curves and vector bundles, stringy geometry and mirror symmetry, and the boundary states in Gepner models recently constructed by Recknagel and Schomerus, to begin sketching a picture of D-branes in the stringy regime. We also make first steps towards computing superpotentials on the D-brane world-volumes.