The matrix factorisations of the D-model

TL;DR

This paper identifies the fundamental matrix factorizations of the D-model superpotential and relates them to boundary states in conformal field theory, with implications for surface singularities and orbifold descriptions.

Contribution

It provides a detailed analysis of matrix factorizations for the D-model superpotential and connects them to boundary states and surface singularity theory.

Findings

Fundamental matrix factorizations of the D-model are explicitly constructed.

Boundary states in conformal field theory are identified with these factorizations.

The analysis applies to both GSO-projections, enriching the understanding of the model.

Abstract

The fundamental matrix factorisations of the D-model superpotential are found and identified with the boundary states of the corresponding conformal field theory. The analysis is performed for both GSO-projections. We also comment on the relation of this analysis to the theory of surface singularities and their orbifold description.