论文标题
重力和Chern-Simons场理论之间对应关系的几何环境
Geometrical setting for the correspondence between gravity and Chern-Simons field theories
论文作者
论文摘要
在本文中，Chern-Simons仪表理论及其与重力的关系从几何观点重新审视。在这种情况下，我们的目标是双重的：一方面，通过在Griffiths类型的独特变异问题中，以$ k $ m $的一组$ k $结构来表示如何代表Chern-Simons理论的各种问题家族。另一方面，用框架束及其仿射对应物之间的对应关系来解释这些理论的对应关系。
In the present article, Chern-Simons gauge theory and its relationship with gravity are revisited from a geometrical viewpoint. In this setting, our goals are twofold: In one hand, to show how to represent the family of variational problems for Chern-Simons theory in the set of $K$-structures on the space-time $M$, by means of a unique variational problem of Griffiths type. On the other hand, to make an interpretation of the correspondence of these theories in terms of the correspondence between the frame bundle and its affine counterpart.
