On the Landau-Ginzburg description of boundary CFTs and special Lagrangian submanifolds

@article{Govindarajan2000OnTL,
  title={On the Landau-Ginzburg description of boundary CFTs and special Lagrangian submanifolds},
  author={S. Govindarajan and T. Jayaraman},
  journal={Journal of High Energy Physics},
  year={2000},
  volume={2000},
  pages={016-016}
}
We consider Landau-Ginzburg (LG) models with boundary conditions pre- serving A-type N = 2 supersymmetry. We show the equivalence of a linear class of boundary conditions in the LG model to a particular class of boundary states in the cor- responding CFT by an explicit computation of the open-string Witten index in the LG model. We extend the linear class of boundary conditions to general non-linear bound- ary conditions and determine their consistency with A-type N = 2 supersymmetry. This… Expand
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