Defect Perturbations in Landau-Ginzburg Models

Details Defect Perturbations in Landau-Ginzburg Models Defect Perturbations in Landau-Ginzburg Models

2009-09-03

arxiv.org/abs/0909.0696v1

JHEP 1003:015,2010

Physics

High Energy Physics

High Energy Physics - Theory

46 pages

Scientific paper

10.1007/JHEP03(2010)015

Perturbations of B-type defects in Landau-Ginzburg models are considered. In particular, the effect of perturbations of defects on their fusion is analyzed in the framework of matrix factorizations. As an application, it is discussed how fusion with perturbed defects induces perturbations on boundary conditions. It is shown that in some classes of models all boundary perturbations can be obtained in this way. Moreover, a universal class of perturbed defects is constructed, whose fusion under certain conditions obey braid relations. The functors obtained by fusing these defects with boundary conditions are twist functors as introduced in the work of Seidel and Thomas.

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