1997/11/13 by N. C. Leung, C. Vafa · 2 citations
Physics and Astronomy · #hep-th
published as Adv.Theor.Math.Phys.2:91-118,1998 · 30 pages, 17 figures, references added
arxiv created 1997/11/13 · arxiv updated 2009/11/30
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 P2 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.