Higher Chern-Simons Theory Based on Strict Higher Groups
发布时间：2025年12月10日
浏览次数：6
发布者: He Liu
主讲人： 宋丹华（数学中心）
活动时间： 从 2025-12-12 15:00 到 16:30
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
This talk is devoted to higher Chern-Simons (HCS) theory, which is a strict higher gauge theory—a generalization of ordinary gauge theory where gauge potentials and field strengths are extended to differential forms valued in higher algebras. We develop HCS theories in 4D and 5D using a generalized construction. Furthermore, we present a generalization of the 4D theory to (2n+2) dimensions. Finally, by applying the extended Cartan homotopy formula to HCS theory, we show that it yields both the higher Chern–Weil theorem and the higher triangle equation, thus unifying these fundamental results.
