Boundary states in Gepner models

TL;DR

This paper extends the construction of boundary states in Gepner models to non-diagonal theories, explores their supersymmetric conditions, and relates microscopic charges to geometric D-brane charges in Calabi-Yau compactifications.

Contribution

It introduces a method to construct boundary states in non-diagonal Gepner models and connects their charges to geometric D-branes in Calabi-Yau threefolds.

Findings

Boundary states constructed for non-diagonal Gepner models.

Supersymmetric conditions consistent with diagonal theories.

Relation established between microscopic and geometric D-brane charges.

Abstract

We extend the construction of the boundary states in Gepner models to the non-diagonal modular invariant theories, and derive the same supersymmetric conditions as the diagonal theories. We also investigate the relation between the microscopic charges of the boundary states and Ramond charges of the B-type D-branes on the Calabi-Yau threefolds with one K\"ahler modulus in the large volume limit.