# Matrix factorisations for rational boundary conditions by defect fusion

Nicolas Behr, Stefan Fredenhagen

Research output: Contribution to journalArticle

2 Citations (Scopus)

## Abstract

Abstract: A large class of two-dimensional N=2,2$$\mathcal{N}=\left(2,\ 2\right)$$ superconformal field theories can be understood as IR fixed-points of Landau-Ginzburg models. In particular, there are rational conformal field theories that also have a Landau-Ginzburg description. To understand better the relation between the structures in the rational conformal field theory and in the Landau-Ginzburg theory, we investigate how rational B-type boundary conditions are realised as matrix factorisations in the SU(3)/U(2) Grassmannian Kazama-Suzuki model. As a tool to generate the matrix factorisations we make use of a particular interface between the Kazama-Suzuki model and products of minimal models, whose fusion can be realised as a simple functor on ring modules. This allows us to formulate a proposal for all matrix factorisations corresponding to rational boundary conditions in the SU(3)/U(2) model.

Original language English Journal of High Energy Physics 2015 5 https://doi.org/10.1007/JHEP05(2015)055 Published - May 2015

## Keywords

• Conformal Field Models in String Theory
• D-branes
• Tachyon Condensation
• Topological Field Theories

## ASJC Scopus subject areas

• Nuclear and High Energy Physics