B-type defects in Landau-Ginzburg models

Details B-type defects in Landau-Ginzburg models B-type defects in Landau-Ginzburg models

2007-07-06

arxiv.org/abs/0707.0922v1

JHEP 0708:093,2007

Physics

High Energy Physics

High Energy Physics - Theory

50 pages, 2 figures

Scientific paper

10.1088/1126-6708/2007/08/093

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.

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