Variable transformation defects

TL;DR

This paper explores defects connecting supersymmetric Landau-Ginzburg models through variable transformations, enabling the transfer of boundary conditions and linking different models such as Grassmannian Kazama-Suzuki and minimal models.

Contribution

It introduces a natural defect associated with variable transformations that relates boundary conditions across different supersymmetric models, including applications to link homology.

Findings

A natural defect relates models via variable transformations.

Boundary conditions in Kazama-Suzuki models can be generated from minimal models.

The defect structure is related to Khovanov-Rozansky link homology.

Abstract

We investigate defects between supersymmetric Landau-Ginzburg models whose superpotentials are related by a variable transformation. It turns out that there is one natural defect, which can then be used to relate boundary conditions and defects in the different models. In particular this defect can be used to relate Grassmannian Kazama-Suzuki models and minimal models, and one can generate rational boundary conditions in the Kazama-Suzuki models from those in minimal models. The defects that appear here are closely related to the defects that are used in Khovanov-Rozansky link homology.