Matter from Toric Geometry

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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19 pages, Plain TeX, 2 figures

Scientific paper

10.1016/S0550-3213(98)00009-1

We present an algorithm for obtaining the matter content of effective six-dimensional theories resulting from compactification of F-theory on elliptic Calabi-Yau threefolds which are hypersurfaces in toric varieties. The algorithm allows us to read off the matter content of the theory from the polyhedron describing the Calabi-Yau manifold. This is based on the generalized Green-Schwarz anomaly cancellation condition.

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