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An SU(5) Heterotic Standard Model
Vincent Bouchard, Ron Donagi
We introduce a new heterotic Standard Model which has precisely the spectrum of the Minimal Supersymmetric Standard Model (MSSM), with no exotic matter. The observable sector has g…
Abelian Varieties with Quaternion Multiplication
Ron Donagi, Ron Livné
In this article we use a Prym construction to study low dimensional abelian varieties with an action of the quaternion group. In special cases we describe the Shimura variety param…
Geometric transitions and integrable systems
Duiliu-Emanuel Diaconescu, Ron Donagi, Robbert Dijkgraaf +2
We consider {\bf B}-model large duality for a new class of noncompact Calabi-Yau spaces modeled on the neighborhood of a ruled surface in a Calabi-Yau threefold. The closed str…
Geometric Transitions and Mixed Hodge Structures
Duiliu-Emanuel Diaconescu, Ron Donagi, Tony Pantev
We formulate and prove a B-model disc level large N duality result for general conifold transitions between compact Calabi-Yau spaces using degenerations of Hodge structures.