论文标题

杂散的轨道,排名降低等(2n+1)字符

Heterotic orbifolds, reduced rank and SO(2n+1) characters

论文作者

Partouche, Hervé, de Vaulchier, Balthazar

论文摘要

D维Minkowski空间中最大超对称杂音串的模量空间包含各种组件,这些组件是由它们参数化的真空的量规对称性等级的特征。我们开发了一种以统一方式描述的方法,该方法是连续的威尔逊线,该方法参数为模量空间的组成部分,以及负责从一个组件转到另一个组件的开关的离散变形。应用于包含具有SO(2n+1)量规对称因子的真空的组件,我们的方法在自由孔模型方面对组件的所有背景产生了描述。 Orbifold发电机事实在内部空间(或没有离散的扭转)对称或不对称地起作用。我们的派生使用SO的广泛仿射字符(2n+1)。作为一个副产品,我们发现了十个维度的杂弦的特殊的Orbifold描述,其中所有自由度都作为扭曲的状态出现,而未偏见的部门则将其降低到自由的重力程度。

The moduli space of the maximally supersymmetric heterotic string in d-dimensional Minkowski space contains various components characterized by the rank of the gauge symmetries of the vacua they parametrize. We develop an approach for describing in a unified way continuous Wilson lines which parametrize a component of the moduli space, together with discrete deformations responsible for the switch from one component to the other. Applied to a component that contains vacua with SO(2n+1) gauge-symmetry factors, our approach yields a description of all backgrounds of the component in terms of free-orbifold models. The orbifold generators turn out to act symmetrically or asymmetrically on the internal space, with or without discrete torsion. Our derivations use extensively affine characters of SO(2n+1). As a by-product, we find a peculiar orbifold description of the heterotic string in ten dimensions, where all gauge degrees of freedom arise as twisted states, while the untwisted sector reduces to the gravitational degrees of freedom.

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