Large N Duality for Compact Calabi-Yau Threefolds
High Energy Physics - Theory
2007-05-23 v3 Algebraic Geometry
Abstract
We study geometric transitions for topological strings on compact Calabi-Yau hypersurfaces in toric varieties. Large N duality predicts an equivalence between topological open and closed string theories connected by an extremal transition. We develop new open string enumerative techniques and perform a high precision genus zero test of this conjecture for a certain class of toric extremal transitions. Our approach is based on a) an open string version of Gromov-Witten theory with convex obstruction bundle and b) an extension of Chern-Simons theory treating the framing as a formal variable.
Cite
@article{arxiv.hep-th/0302076,
title = {Large N Duality for Compact Calabi-Yau Threefolds},
author = {Duiliu-Emanuel Diaconescu and Bogdan Florea},
journal= {arXiv preprint arXiv:hep-th/0302076},
year = {2007}
}
Comments
88 pages, 14 figures (11 color); v2: minor changes; v3: published version