Branes and Toric Geometry

N. C. Leung; C. Vafa

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arXiv · hep-th/9711013

Branes and Toric Geometry

N. C. Leung·C. Vafa

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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.

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N. C. Leung, C. Vafa. 1997-11-13. Branes and Toric Geometry. https://arxiv.org/abs/hep-th/9711013

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