Remarks on A-branes, Mirror Symmetry, and the Fukaya category

Details Remarks on A-branes, Mirror Symmetry, and the Fukaya category Remarks on A-branes, Mirror Symmetry, and the Fukaya category

2001-09-12

arxiv.org/abs/hep-th/0109098v1

J. Geom. Phys. 48 (2003), no. 1, 84--99

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, latex

Scientific paper

10.1016/S0393-0440(03)00026-3

We discuss D-branes of the topological A-model (A-branes), which are believed to be closely related to the Fukaya category. We give string theory arguments which show that A-branes are not necessarily Lagrangian submanifolds in the Calabi-Yau: more general coisotropic branes are also allowed, if the line bundle on the brane is not flat. We show that a coisotropic A-brane has a natural structure of a foliated manifold with a transverse holomorphic structure. We argue that the Fukaya category must be enlarged with such objects for the Homological Mirror Symmetry conjecture to be true.

Affiliated with

Also associated with

No associations

Rating

Remarks on A-branes, Mirror Symmetry, and the Fukaya category 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 Remarks on A-branes, Mirror Symmetry, and the Fukaya category, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Remarks on A-branes, Mirror Symmetry, and the Fukaya category will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-611350