论文标题
MacDowell Mansouri重力与Kalb Ramond Fields的分类概括
Categorical generalization of MacDowell Mansouri gravity coupled to Kalb Ramond fields
论文作者
论文摘要
在这项工作中，我们使用严格的2组概括了MacDowell-Mansouri重力理论。为了实现这一目标，我们构建了ISO（4,1）组的分类概括，我们称之为DE Sitter 2组。然后，我们通过两种不同的方式开始概括MacDowell-Mansouri理论。首先，作为阳米尔斯型理论，在其中明确打破了对称性，以获得与卡尔布 - 拉蒙德田地耦合的爱因斯坦 - 卡丹理论。其次，通过使用BF理论的分类概括，称为2-BF理论，在添加了一些对称性断裂和约束术语后，该理论提供了与Kalb-Ramond领域相同的Einstein-Cartan理论，以及一些额外的拓扑术语。
In this work we generalize the MacDowell-Mansouri theory of gravity using strict 2-groups. To achieve this, we construct the categorical generalization of the ISO(4,1) group, which we call the de Sitter 2-group. We then proceed to generalize the MacDowell-Mansouri theory in two different ways. First, as a Yang-Mills-type theory, where the symmetry is explicitly broken to obtain an Einstein-Cartan theory coupled to Kalb-Ramond fields. And second, by using the categorical generalization of the BF theory, called 2-BF theory, which after the addition of some symmetry breaking and constraint terms gives the same Einstein-Cartan theory coupled to Kalb-Ramond fields plus some extra topological terms.
