Higher Chern-Simons Theory Based on Strict Higher Groups

Time: 2025-12-10 Published By: He Liu

Speaker(s): Danhua Song(BICMR)

Time: 15:00-16:30 December 12, 2025

Venue: Room 77201, Jingchunyuan 78, BICMR

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.