B-type defects in Landau-Ginzburg models
High Energy Physics - Theory
2009-04-30 v1
Abstract
We consider Landau-Ginzburg models with possibly different superpotentials glued together along one-dimensional defect lines. Defects preserving B-type supersymmetry can be represented by matrix factorisations of the difference of the superpotentials. The composition of these defects and their action on B-type boundary conditions is described in this framework. The cases of Landau-Ginzburg models with superpotential W=X^d and W=X^d+Z^2 are analysed in detail, and the results are compared to the CFT treatment of defects in N=2 superconformal minimal models to which these Landau-Ginzburg models flow in the IR.
Keywords
Cite
@article{arxiv.0707.0922,
title = {B-type defects in Landau-Ginzburg models},
author = {Ilka Brunner and Daniel Roggenkamp},
journal= {arXiv preprint arXiv:0707.0922},
year = {2009}
}
Comments
50 pages, 2 figures