On D-branes from Gauged Linear Sigma Models

TL;DR

This paper investigates A-type and B-type D-branes within gauged linear sigma models by analyzing boundary conditions, deriving their forms in the full model, and ensuring consistency with the non-linear sigma model limit for Calabi-Yau manifolds.

Contribution

It derives boundary conditions for D-branes in gauged linear sigma models, including boundary contact terms, ensuring correct limits to non-linear sigma models for Calabi-Yau spaces.

Findings

Derived boundary conditions for D-branes in GLSMs

Included boundary contact terms for consistency

Ensured correct non-linear sigma model limit

Abstract

We study both A-type and B-type D-branes in the gauged linear sigma model by considering worldsheets with boundary. The boundary conditions on the matter and vector multiplet fields are first considered in the large-volume phase/non-linear sigma model limit of the corresponding Calabi-Yau manifold, where we also find that we need to add a contact term on the boundary. These considerations enable to us to derive the boundary conditions in the full gauged linear sigma model, including the addition of the appropriate boundary contact terms, such that these boundary conditions have the correct non-linear sigma model limit. Most of the analysis is for the case of Calabi-Yau manifolds with one Kahler modulus (including those corresponding to hypersurfaces in weighted projective space), though we comment on possible generalizations.