Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-03-27
JHEP 07 (2000) 016
Physics
High Energy Physics
High Energy Physics - Theory
28+1 pages; no figures; requires JHEP.cls, amssymb; (v2) typo corrected; (v3) references added
Scientific paper
10.1088/1126-6708/2000/07/016
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 C^n due to Harvey and Lawson. We generalise this construction to the case of hypersurfaces in P^n. We find that the boundary conditions must necessarily have vanishing Poisson bracket with the combination (W(\phi)-\bar{W}(\bar{\phi})), where W(\phi) is the appropriate superpotential for the hypersurface. An interesting application considered is the T^3 supersymmetric cycle of the quintic in the large complex structure limit.
Govindarajan Suresh
Jayaraman T.
No associations
LandOfFree
On the Landau-Ginzburg description of Boundary CFTs and special Lagrangian submanifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the Landau-Ginzburg description of Boundary CFTs and special Lagrangian submanifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Landau-Ginzburg description of Boundary CFTs and special Lagrangian submanifolds will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-650546