D-branes at Singular Curves of Calabi-Yau Compactifications

TL;DR

This paper explores the description of D-branes in Calabi-Yau manifolds with singular curves using Gepner models, focusing on boundary states for branes wrapping new cycles after singularity resolution.

Contribution

It provides explicit formulas for boundary states of D-branes on resolved Calabi-Yau manifolds with Z_2 singular curves using conformal field theory techniques.

Findings

Constructed boundary states for branes on singular curves

Derived explicit formulas for Z_2 singularities

Enhanced understanding of D-branes in singular geometries

Abstract

We study the Gepner model description of D-branes in Calabi-Yau manifolds with singular curves. From a geometrical point of view, the resolution of singularities leads to additional homology cycles around which branes can wrap. Using techniques from conformal field theory we address the construction of boundary states for branes wrapping additional 3-cycles on the resolved Calabi-Yau manifold. Explicit formulas are provided for Z_2 singular curves.