标题： 嘉当几何，超引力，和群流形方法 显示英文标题

标题： Cartan geometry, supergravity, and group manifold approach

摘要： 我们强调了嘉当几何对于引力规范理论和超引力规范理论的独特相关性。 我们通过回顾历史线索并提供动机来引入本讨论。 在第一部分，我们回顾经典规范理论的几何结构，作为理解嘉当几何框架下的引力规范理论背景。 第二部分介绍了超引力的群流形方法的基础知识，并暗示了它与嘉当超几何的深层联系。 本文的目的是提供一个概念性的概览，而非详尽的综述，希望成为物理和数学领域之间的一座桥梁。 显示英文摘要

摘要： We make a case for the unique relevance of Cartan geometry for gauge theories of gravity and supergravity. We introduce our discussion by recapitulating historical threads, providing motivations. In a first part we review the geometry of classical gauge theory, as a background for understanding gauge theories of gravity in terms of Cartan geometry. The second part introduces the basics of the group manifold approach to supergravity, hinting at the deep rooted connections to Cartan supergeometry. The contribution is intended, not as an extensive review, but as a conceptual overview, and hopefully a bridge between communities in physics and mathematics.