B-type defects in Landau-Ginzburg models

2007/07/06 by Ilka Brunner, Daniel Roggenkamp · 2 citations
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1088/1126-6708/2007/08/093

published as JHEP 0708:093,2007 · 50 pages, 2 figures

arxiv created 2007/07/06 · arxiv updated 2009/12/01

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+Z² 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.

Cited by

• N=2 RG flows, Non-Invertible Symmetries and Matrix Factorisations
• N=2 minimal conformal field theories and matrix bifactorisations of x^d

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