Branes and Toric Geometry
High Energy Physics - Theory
2008-11-26 v2
Abstract
We show that toric geometry can be used rather effectively to translate a brane configuration to geometry. Roughly speaking the skeletons of toric space are identified with the brane configurations. The cases where the local geometry involves hypersurfaces in toric varieties (such as P^2 blown up at more than 3 points) presents a challenge for the brane picture. We also find a simple physical explanation of Batyrev's construction of mirror pairs of Calabi-Yau manifolds using T-duality.
Cite
@article{arxiv.hep-th/9711013,
title = {Branes and Toric Geometry},
author = {N. C. Leung and C. Vafa},
journal= {arXiv preprint arXiv:hep-th/9711013},
year = {2008}
}
Comments
30 pages, 17 figures, references added