Free-Field Approach to D-Branes in Gepner Models

TL;DR

This paper develops a free-field construction of boundary states in Gepner models, linking open string spectra to the chiral de Rham complex of Landau-Ginzburg orbifolds, exemplified by the 1^3 model.

Contribution

It introduces a novel free-field approach to boundary states in Gepner models and connects their open string spectra to Landau-Ginzburg orbifold structures.

Findings

Open string spectrum described via chiral de Rham complex.

Established relation between Gepner boundary states and fractional branes.

Detailed analysis of the 1^3 model example.

Abstract

We represent free-field construction of boundary states in Gepner models basing on free-field realization of N=2 superconformal minimal models. Using this construction we consider the open string spectrum between the boundary states and show that it can be described in terms of Malikov, Schechtman, Vaintrob chiral de Rham complex of the Landau- Ginzburg orbifold. It allows to establish direct relation of the open string spectrum for boundary states in Gepner models to the open string spectrum for fractional branes in Landau-Ginzburg orbifolds. The example of $1^{3}$ model considered in details.