Branes and Toric Geometry

Details Branes and Toric Geometry Branes and Toric Geometry

1997-11-03

arxiv.org/abs/hep-th/9711013v2

Adv.Theor.Math.Phys.2:91-118,1998

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 17 figures, references added

Scientific paper

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.

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