论文标题
在绳子上有新的视图
A fresh view on string orbifolds
论文作者
论文摘要
在量子场理论中，Orbifold是通过测量有限的全局对称性从旧理论获得新理论的一种方式。 Orbifold的这种定义对于量子重力理论是没有意义的，即（猜想）没有全球对称性。在弦理论中，Orbifold过程涉及在描述基本弦的世界表理论上的全球对称性。另外，这是一种通过标记某些等轴测图从旧字符串背景获得新的字符串背景的方法。我们根据给定的字符串模型的规格对称性组提出了一个新的Orbifolds弦符号。在这样的公式中，“父”和“子”理论对应于打破或衡量其共同子行为的所有潜在全球对称性的不同方式。通过几个简单的示例，我们描述了父理论中规格组的较高群体结构在确定量规组和Orbifold理论的扭曲扇区中起着至关重要的作用。我们还讨论了这种Orbifold过程对二元性框架的依赖性。
In quantum field theory, an orbifold is a way to obtain a new theory from an old one by gauging a finite global symmetry. This definition of orbifold does not make sense for quantum gravity theories, that admit (conjecturally) no global symmetries. In string theory, the orbifold procedure involves the gauging of a global symmetry on the world-sheet theory describing the fundamental string. Alternatively, it is a way to obtain a new string background from an old one by quotienting some isometry. We propose a new formulation of string orbifolds in terms of the group of gauge symmetries of a given string model. In such a formulation, the `parent' and the `child' theories correspond to different ways of breaking or gauging all potential global symmetries of their common subsector. Through a couple of simple examples, we describe how the higher group structure of the gauge group in the parent theory plays a crucial role in determining the gauge group and the twisted sector of the orbifold theory. We also discuss the dependence of this orbifold procedure on the duality frame.
