Matter from toric geometry

  title={Matter from toric geometry},
  author={Philip Candelas and Eugene Perevalov and Govindan Rajesh},
  journal={Nuclear Physics},
Abstract 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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