Tensor Product and Permutation Branes on the Torus

TL;DR

This paper explores the correspondence between B-type D-branes in a specific Gepner model and A-type branes on a torus, establishing a detailed dictionary between these two descriptions.

Contribution

It provides a precise mapping between B-type D-branes in the Gepner model and A-type branes on the torus, enhancing understanding of mirror symmetry in string theory.

Findings

Identified the B-type D-branes with A-type Neumann and Dirichlet branes on the torus

Established the dictionary linking Gepner model branes to torus branes

Clarified mirror symmetry relations in this context

Abstract

We consider B-type D-branes in the Gepner model consisting of two minimal models at k=2. This Gepner model is mirror to a torus theory. We establish the dictionary identifying the B-type D-branes of the Gepner model with A-type Neumann and Dirichlet branes on the torus.