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Completing the Web of $Z_3$ - Quotients of Complete Intersection Calabi-Yau Manifolds
We complete the study [1] of smooth ℤ3-quotients of complete intersection Calabi-Yau threefolds by discussing the six new manifolds that admit free ℤ3 actions that were discovered in [2]. TheseExpand
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A Comprehensive Scan for Heterotic SU(5) GUT models
A bstractCompactifications of heterotic theories on smooth Calabi-Yau manifolds remain one of the most promising approaches to string phenomenology. In two previous papers, arXiv:1106.4804 andExpand
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An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts
Even a cursory inspection of the Hodge plot associated with Calabi-Yau threefolds that are hypersurfaces in toric varieties reveals striking structures. These patterns correspond to webs ofExpand
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The moduli space of heterotic line bundle models: a case study for the tetra-quadric
A bstractIt has recently been realised that polystable, holomorphic sums of line bundles over smooth Calabi-Yau three-folds provide a fertile ground for heterotic model building. Large numbers ofExpand
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Hodge numbers for all CICY quotients
A bstractWe present a general method for computing Hodge numbers for Calabi-Yau manifolds realised as discrete quotients of complete intersections in products of projective spaces. The method reliesExpand
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Type IIB flux vacua from G-theory II
A bstractWe find analytic solutions of type IIB supergravity on geometries that locally take the form Mink × M4 × ℂ with M4 a generalised complex manifold. The solutions involve the metric, theExpand
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Machine Learning Line Bundle Cohomology.
We investigate different approaches to machine learning of line bundle cohomology on complex surfaces as well as on Calabi-Yau three-folds. Standard function learning based on simple fully connectedExpand
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Counting string theory standard models
We derive an approximate analytic relation between the number of consistent heterotic Calabi-Yau compactifications of string theory with the exact charged matter content of the standard model ofExpand
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Index Formulae for Line Bundle Cohomology on Complex Surfaces
We conjecture and prove closed-form index expressions for the cohomology dimensions of line bundles on del Pezzo and Hirzebruch surfaces. Further, for all compact toric surfaces we provide a simpleExpand
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Formulae for Line Bundle Cohomology on Calabi-Yau Threefolds
We present closed form expressions for the ranks of all cohomology groups of holomorphic line bundles on several Calabi-Yau threefolds realised as complete intersections in products of projectiveExpand
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