Matter from Toric Geometry

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.

19 pages, Plain TeX, 2 figures

References in corpus (10)

• Compactifications of F-Theory on Calabi--Yau Threefolds -- II
• Compactifications of F-Theory on Calabi--Yau Threefolds -- I
• Mirror Symmetry in Three Dimensional Gauge Theories
• Small Instantons in String Theory
• Exact Results for N=2 Compactifications of Heterotic Strings
• Nonperturbative Results on the Point Particle Limit of N=2 Heterotic String Compactifications
• K3--Fibrations and Heterotic-Type II String Duality
• Second-Quantized Mirror Symmetry
• Enhanced Gauge Symmetry in Type II String Theory
• Aspects of Duality in N=2 String Vacua

Cited by in corpus (4)

• F-theory on Genus-One Fibrations
• 6D supergravity without tensor multiplets
• Toric Elliptic Fibrations and F-Theory Compactifications
• The Geometry of the SU(2)$\times$ G${}_2$-model