Heterotic non-abelian orbifolds

Heterotic non-abelian orbifolds
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杂种非阿贝尔环褶

DOI:
10.1007/jhep07(2013)080
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发表时间:
2013
影响因子:
5.4
通讯作者:
P. Vaudrevange
P. Vaudrevange
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
M. Fischer;Saúl Ramos;P. Vaudrevange

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本文首次对非阿贝尔环面轨道上的异质弦紧化得到的粒子谱进行了系统分析。在开发了一种基于高维超对称的标准嵌入情况下计算粒子谱的新技术之后,我们计算了所有最近分类的331个非阿贝尔轨道几何形状的Hodge数,这些几何形状产生了$ \mathcal{N}=1 $的杂化紧化超对称。令人惊讶的是,大多数霍奇数遵循经验模式h(1,1)−h(2,1) = 0 mod 6,这可能与三个标准模型世代的数量有关。此外,我们研究了基本群,以确定非局部规范对称破缺的可能性。详细讨论了三个例子:最简单的非阿贝尔轨道S3和两个更复杂的例子,T7和Δ(27),它们只有一个非扭曲Kähler,没有非扭曲的复杂结构模。在无尺度超引力的背景下,这样的模型可能特别有趣。最后,我们简要讨论了在增强(自发破缺)超对称条件下欧拉数消失的轨道构型的情况。
A bstractWe perform the first systematic analysis of particle spectra obtained from heterotic string compactifications on non-Abelian toroidal orbifolds. After developing a new technique to compute the particle spectrum in the case of standard embedding based on higher dimensional supersymmetry, we compute the Hodge numbers for all recently classified 331 non-Abelian orbifold geometries which yield $ \mathcal{N}=1 $ supersymmetry for heterotic compactifications. Surprisingly, most Hodge numbers follow the empiric pattern h(1,1)− h(2,1) = 0 mod 6, which might be related to the number of three standard model generations. Furthermore, we study the fundamental groups in order to identify the possibilities for non-local gauge symmetry breaking. Three examples are discussed in detail: the simplest non-Abelian orbifold S3 and two more elaborate examples, T7 and Δ(27), which have only one untwisted Kähler and no untwisted complex structure modulus. Such models might be especially interesting in the context of no-scale supergravity. Finally, we briefly discuss the case of orbifolds with vanishing Euler numbers in the context of enhanced (spontaneously broken) supersymmetry.
DOI: 10.1007/jhep02(2010)054
发表时间: 2009-11
影响因子: 5.4
作者:
L. Anderson;J. Gray;Yang-Hui He;A. Lukas
通讯作者: L. Anderson;J. Gray;Yang-Hui He;A. Lukas