论文标题
构建Carrollian CFT
Constructing Carrollian CFTs
论文作者
论文摘要
我们在卡罗尔（Carrollian）差异和韦伊尔（Weyl）变换下不变的任意卡罗尔（Carroll）空间中为标量场构建经典理论。当局部对称性量规固定时，这些理论成为卡罗利亚形式的田地理论。我们表明，通常至少有两种类型的理论：一种仅出现字段的时间衍生物，而另一个时空派生词出现。提供了三个（及更高）维度的分类，最多提供了两个衍生序。我们表明，只有我们理论的特殊情况才出现在协变父理论的超偏见限制中。
We construct classical theories for scalar fields in arbitrary Carroll spacetimes that are invariant under Carrollian diffeomorphisms and Weyl transformations. When the local symmetries are gauge fixed these theories become Carrollian conformal field theories. We show that generically there are at least two types of such theories: one in which only time derivatives of the fields appear and the other in which both space and time derivatives appear. A classification of such scalar field theories in three (and higher) dimensions up to two derivative order is provided. We show that only a special case of our theories arises in the ultra-relativistic limit of a covariant parent theory.
