On the number of chiral generations in Z2 X Z2 orbifolds

被引：52

作者：

Donagi, R ^{[1
]}

Faraggi, AE

机构：

[1] Univ Penn, Dept Math, Philadelphia, PA 19104 USA

[2] Univ Oxford, Dept Theoret Phys, Oxford OX1 3NP, England

[3] Inst Adv Study, Sch Nat Sci, Princeton, NJ 08540 USA

来源：

NUCLEAR PHYSICS B | 2004年 / 694卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/j.nuclphysb.2004.06.009

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：

The data from collider experiments and cosmic observatories indicates the existence of three light matter generations. In some classes of string compactifications the number of generations is related to a topological quantity, the Euler characteristic. However, these do not explain the existence of three generations. In a class of free fermionic string models, related to the Z(2) x Z(2) orbifold compactification, the existence of three generations is correlated with the existence of three twisted sectors in this class of compactifications. However, the three generation models are constructed in the free fermionic formulation and their geometrical correspondence is not readily available. In this paper we classify quotients of the Z(2) X Z(2) orbifold by additional symmetric shifts on the three complex tori. We show that three generation vacua are not obtained in this manner, indicating that the geometrical structures underlying the free fermionic models are more esoteric. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：187 / 205

页数：19