Planar Homological Mirror Symmetry
High Energy Physics - Theory
2008-11-26 v3 Algebraic Geometry
Symplectic Geometry
Abstract
In this article, we formulate a planar limited version of the B-side in homological mirror symmetry that formularizes Chern-Simons-type topological open string field theory using homotopy associative algebra ( algebra). This formulation is based on the works by Dijkgraaf and Vafa. We show that our formularization includes gravity/gauge theory correspondence which originates in the AdS/CFT duality of Dijkgraaf-Vafa theory.
Cite
@article{arxiv.0707.0387,
title = {Planar Homological Mirror Symmetry},
author = {Eiji Konishi},
journal= {arXiv preprint arXiv:0707.0387},
year = {2008}
}
Comments
15 pages, 3 figures. v2: minor corrections, references added, v3: fonts changed, accepted for publication in Int. J. Mod. Phys. A