2007

B-type defects in Landau-Ginzburg models

Brunner, Ilka, Roggenkamp, Daniel

Understand

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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