| Автор | Suresh Govindarajan |
| Автор | T. Jayaraman |
| Дата выпуска | 2000-07-01 |
| dc.description | We consider Landau-Ginzburg (LG) models with boundary conditions preserving 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 corresponding 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 boundary conditions and determine their consistency with A-type N = 2 supersymmetry. This enables us to provide a microscopic description of special lagrangian submanifolds in <sup>n</sup> due to Harvey and Lawson. We generalise this construction to the case of hypersurfaces in <sup>n</sup>. We find that the boundary conditions must necessarily have vanishing Poisson bracket with the combination (W(φ)−W̅()), where W(φ) is the appropriate superpotential for the hypersurface. An interesting application considered is the <sup>3</sup> supersymmetric cycle of the quintic in the large complex structure limit. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | On the Landau-Ginzburg description of boundary CFTs and special lagrangian submanifolds |
| Тип | paper |
| DOI | 10.1088/1126-6708/2000/07/016 |
| Electronic ISSN | 1029- 8479 |
| Print ISSN | 1126-6708 |
| Журнал | Journal of High Energy Physics |
| Том | 2000 |
| Первая страница | 16 |
| Последняя страница | 016 |
| Выпуск | 07 |
