Free Quotients of Favorable Calabi-Yau Manifolds

Abstract

Non-simply connected Calabi-Yau threefolds play a central role in the study of string compactifications. Such manifolds are usually described by quotienting a simply connected Calabi-Yau variety by a freely acting discrete symmetry. For the Calabi-Yau threefolds described as complete intersections in products of projective spaces, a classification of such symmetries descending from linear actions on the ambient spaces of the varieties has been given in the literature. However, which symmetries can be described in this manner depends upon the description that is being used to represent the manifold. In recent work new, favorable, descriptions were given of this data set of Calabi-Yau threefolds. In this paper, we perform a classification of cyclic symmetries that descend from linear actions on the ambient spaces of these new favorable descriptions. We present a list of 129 symmetries/non-simply connected Calabi-Yau threefolds. Of these, at least 33, and potentially many more, are topologically new varieties.

arXiv comment28 pages, 1 figure

References in corpus (24)

• An SU(5) Heterotic Standard Model
• A Heterotic Standard Model
• Heterotic Line Bundle Standard Models
• The Exact MSSM Spectrum from String Theory
• Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds
• Exploring Positive Monad Bundles And A New Heterotic Standard Model
• On Free Quotients of Complete Intersection Calabi-Yau Manifolds
• New Calabi-Yau Manifolds with Small Hodge Numbers
• The Atiyah Class and Complex Structure Stabilization in Heterotic Calabi-Yau Compactifications
• Fibrations in CICY Threefolds
• A New Construction of Calabi-Yau Manifolds: Generalized CICYs
• The MSSM Spectrum from (0,2)-Deformations of the Heterotic Standard Embedding
• A Generalized Construction of Calabi-Yau Models and Mirror Symmetry
• Completing the Web of $Z_3$ - Quotients of Complete Intersection Calabi-Yau Manifolds
• Hodge Numbers for All CICY Quotients
• Calabi-Yau Threefolds With Small Hodge Numbers
• Hypercharge Flux in Heterotic Compactifications
• On Calabi-Yau generalized complete intersections from Hirzebruch varieties and novel K3-fibrations
• Hodge Numbers for CICYs with Symmetries of Order Divisible by 4
• Heterotic String Model Building with Monad Bundles and Reinforcement Learning
• Discrete Symmetries of Calabi-Yau Hypersurfaces in Toric Four-Folds
• A remark on generalized complete intersections
• Heterotic Line Bundle Models on Generalized Complete Intersection Calabi Yau Manifolds
• Calabi-Yau generalized complete intersections and aspects of cohomology of sheaves

Cited by in corpus (1)

• Machine Learning on generalized Complete Intersection Calabi-Yau Manifolds