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We analyze freely-acting discrete symmetries of Calabi-Yau three-folds defined as hypersurfaces in ambient toric four-folds. An algorithm which allows the systematic classification of such symmetries which are linearly realised on the toric…

High Energy Physics - Theory · Physics 2018-03-28 Andreas P. Braun , Andre Lukas , Chuang Sun

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…

High Energy Physics - Theory · Physics 2022-08-10 James Gray , Juntao Wang

In order to find novel examples of non-simply connected Calabi-Yau threefolds, free quotients of complete intersections in products of projective spaces are classified by means of a computer search. More precisely, all automorphisms of the…

High Energy Physics - Theory · Physics 2015-05-18 Volker Braun

In this work we study genus one fibrations in Calabi-Yau three-folds with a non-trivial first fundamental group. The manifolds under consideration are constructed as smooth quotients of complete intersection Calabi-Yau three-folds (CICYs)…

High Energy Physics - Theory · Physics 2018-09-26 Lara. B. Anderson , James Gray , Brian Hammack

We present an exhaustive, constructive, classification of the Calabi-Yau four-folds which can be described as complete intersections in products of projective spaces. A comprehensive list of 921,497 configuration matrices which represent…

High Energy Physics - Theory · Physics 2013-07-16 James Gray , Alexander S. Haupt , Andre Lukas

We extend previous computations of Calabi-Yau metrics on projective hypersurfaces to free quotients, complete intersections, and free quotients of complete intersections. In particular, we construct these metrics on generic quintics,…

High Energy Physics - Theory · Physics 2015-03-13 Volker Braun , Tamaz Brelidze , Michael R. Douglas , Burt A. Ovrut

In this work we consider quotients of elliptically fibered Calabi-Yau threefolds by freely acting discrete groups and the associated physics of F-theory compactifications on such backgrounds. The process of quotienting a Calabi-Yau geometry…

High Energy Physics - Theory · Physics 2020-01-29 Lara B. Anderson , James Gray , Paul-Konstantin Oehlmann

We present a complete intersection Calabi-Yau manifold Y that has Euler number -72 and which admits free actions by two groups of automorphisms of order 12. These are the cyclic group Z_12 and the non-Abelian dicyclic group Dic_3. The…

High Energy Physics - Theory · Physics 2014-11-20 Volker Braun , Philip Candelas , Rhys Davies

At special loci in their moduli spaces, Calabi-Yau manifolds are endowed with discrete symmetries. Over the years, such spaces have been intensely studied and have found a variety of important applications. As string compactifications they…

High Energy Physics - Theory · Physics 2008-11-26 Charles Doran , Brian Greene , Simon Judes

We present a generalization of the complete intersection in products of projective space (CICY) construction of Calabi-Yau manifolds. CICY three-folds and four-folds have been studied extensively in the physics literature. Their utility…

High Energy Physics - Theory · Physics 2016-05-04 Lara B. Anderson , Fabio Apruzzi , Xin Gao , James Gray , Seung-Joo Lee

A large class of new 4-D superstring vacua with non-trivial/singular geometries, spacetime supersymmetry and other background fields (axion, dilaton) are found. Killing symmetries are generic and are associated with non-trivial dilaton and…

High Energy Physics - Theory · Physics 2007-05-23 E. Kiritsis , C. Kounnas , D. Lust

We study the relation between discrete gauge symmetries in F-theory compactifications and torsion homology on the associated Calabi-Yau manifold. Focusing on the simplest example of a $\mathbb Z_2$ symmetry, we show that there are two…

High Energy Physics - Theory · Physics 2015-01-14 Christoph Mayrhofer , Eran Palti , Oskar Till , Timo Weigand

We provide the first explicit example of Type IIB string theory compactification on a globally defined Calabi-Yau threefold with torsion which results in a four-dimensional effective theory with a non-Abelian discrete gauge symmetry. Our…

High Energy Physics - Theory · Physics 2017-09-13 Volker Braun , Mirjam Cvetic , Ron Donagi , Maximilian Poretschkin

Most of Calabi-Yau manifolds that have been considered by physicists are complete intersection Calabi-Yau manifolds of toric varieties or some quotients of product types. Purpose of this paper is to introduce a different and rather new kind…

High Energy Physics - Theory · Physics 2014-11-20 Nam-Hoon Lee

We construct complete Calabi-Yau metrics on non-compact manifolds that are smoothings of an initial complete intersection $V_0$ that is a Calabi-Yau cone, extending the work of Sz\'ekelyhidi (2019). The constructed Calabi-Yau manifold has…

Differential Geometry · Mathematics 2025-11-04 Benjy J. Firester

We obtain a detailed classification for a class of non-simply connected Calabi-Yau threefolds which are of potential interest for a wide range of problems in string phenomenology. These threefolds arise as quotients of Schoen's Calabi-Yau…

Algebraic Geometry · Mathematics 2008-04-14 Vincent Bouchard , Ron Donagi

In this paper we classify all free actions of finite groups on Calabi-Yau complete intersection of 4 quadrics in $\PP^7$, up to projective equivalence. We get some examples of smooth Calabi-Yau threefolds with large nonabelian fundamental…

Algebraic Geometry · Mathematics 2010-09-23 Zheng Hua

We construct heterotic standard models by compactifying on smooth Calabi-Yau three-folds in the presence of purely Abelian internal gauge fields. A systematic search over complete intersection Calabi-Yau manifolds with less than six Kahler…

High Energy Physics - Theory · Physics 2015-05-28 Lara B. Anderson , James Gray , Andre Lukas , Eran Palti

We study the possibility of realizing an effective sequestering between visible and hidden sectors in generic heterotic string models, generalizing previous work on orbifold constructions to smooth Calabi-Yau compactifications. In these…

High Energy Physics - Theory · Physics 2011-07-13 Christopher Andrey , Claudio A. Scrucca

We determine the discrete gauge symmetries that arise in F-theory compactifications on examples of genus-one fibered Calabi-Yau 4-folds without a section. We construct genus-one fibered Calabi-Yau 4-folds using Fano manifolds, cyclic 3-fold…

High Energy Physics - Theory · Physics 2017-05-02 Yusuke Kimura
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