Remarks on A branes, mirror symmetry, and the Fukaya category - INSPIRE

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Remarks on A branes, mirror symmetry, and the Fukaya category

Sep, 2001

19 pages

Published in:

J.Geom.Phys. 48 (2003) 84

e-Print:

hep-th/0109098 [hep-th]

DOI:

10.1016/S0393-0440(03)00026-3

Report number:

CALT-68-2348

View in:

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Abstract:

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.

membrane model
symmetry: mirror
model: topological
string model
category
differential geometry
homology

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Figures(0)

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