All complete intersection Calabi-Yau four-folds

被引：46

作者：

Gray, James ^{[1
]}

Haupt, Alexander S. ^{[2
]}

Lukas, Andre ^{[3
]}

机构：

[1] Univ Munich, Dept Phys, Arnold Sommerfeld Ctr Theoret Phys, D-80333 Munich, Germany

[2] Leibniz Univ Hannover, Inst Theoret Phys, D-30167 Hannover, Germany

[3] Univ Oxford, Rudolf Peierls Ctr Theoret Phys, Oxford OX1 3NP, England

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2013年 / 07期

基金：

英国工程与自然科学研究理事会; 美国国家科学基金会;

关键词：

Differential and Algebraic Geometry; F-Theory; Superstring Vacua; F-THEORY; MANIFOLDS;

D O I：

10.1007/JHEP07(2013)070

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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 all topologically distinct types of complete intersection Calabi-Yau four-folds is provided and can be downloaded here. The manifolds have non-negative Euler characteristics in the range 0 <= chi <= 2610. This data set will be of use in a wide range of physical and mathematical applications. Nearly all of these four-folds are elliptically fibered and are thus of interest for F-theory model building.

引用

页数：18

共 15 条

[1] Monad bundles in heterotic string compactifications [J].

Anderson, Lara ;

He, Yang-Hui ;

Lukas, Andre .

JOURNAL OF HIGH ENERGY PHYSICS, 2008, (07)

[2] Heterotic line bundle standard models [J].

Anderson, Lara B. ;

Gray, James ;

Lukas, Andre ;

Palti, Eran .

JOURNAL OF HIGH ENERGY PHYSICS, 2012, (06)

[3] Two hundred heterotic standard models on smooth Calabi-Yau threefolds [J].

Anderson, Lara B. ;

Gray, James ;

Lukas, Andre ;

Palti, Eran .

PHYSICAL REVIEW D, 2011, 84 (10)

[4]

Beasley C., 2009, JHEP, V01

[5]

Braun V., 2011, JHEP, V04

[6] Unification of M- and F-theory Calabi-Yau fourfold vacua [J].

Brunner, I ;

Lynker, M ;

Schimmrigk, R .

NUCLEAR PHYSICS B, 1997, 498 (1-2) :156-174

[7] COMPLETE INTERSECTION CALABI-YAU MANIFOLDS .2. 3 GENERATION MANIFOLDS [J].

CANDELAS, P ;

LUTKEN, CA ;

SCHIMMRIGK, R .

NUCLEAR PHYSICS B, 1988, 306 (01) :113-136

[8] COMPLETE INTERSECTION CALABI-YAU MANIFOLDS [J].

CANDELAS, P ;

DALE, AM ;

LUTKEN, CA ;

SCHIMMRIGK, R .

NUCLEAR PHYSICS B, 1988, 298 (03) :493-525

[9]

Donagi R, 2011, ADV THEOR MATH PHYS, V15, P1237

[10]

GRAY JS, UNPUB

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