论文标题
2个怪异的刚性模型I：Chern-Simons几何形状
Rigid models for 2-gerbes I: Chern-Simons geometry
论文作者
论文摘要
由构造明确的几何字符串结构的问题的激励，我们为束2 gerbes提供了一个刚性模型，并在其上定义了结缔组织。该模型旨在使物理应用程序的明确计算更容易。为了与现有的定义进行比较，我们像刚体模型（包括连接）的文献中一样，给出了捆绑2 gerbe的功能性构造。作为一个例子，我们证明了Chern-Simons捆绑2-GERBE具有结缔组织结缔组织，可以被僵化 - 它是从最强的意义上出现的，从具有这种结构结合结构的刚性束2- gerbe。此外，我们的2 gerbe琐碎化（带有连接）的刚性版本在通常的意义上引起了捆绑2毛线的琐事（带有连接），因此可以用来描述几何字符串结构。
Motivated by the problem of constructing explicit geometric string structures, we give a rigid model for bundle 2-gerbes, and define connective structures thereon. This model is designed to make explicit calculations easier in applications to physics. To compare to the existing definition, we give a functorial construction of a bundle 2-gerbe as in the literature from our rigid model, including with connections. As an example we prove that the Chern--Simons bundle 2-gerbe from the literature, with its connective structure, can be rigidified -- it arises, up to isomorphism in the strongest possible sense, from a rigid bundle 2-gerbe with connective structure via this construction. Further, our rigid version of 2-gerbe trivialisation (with connections) gives rise to trivialisations (with connections) of bundle 2-gerbes in the usual sense, and as such can be used to describe geometric string structures.
