5 papers
Higher Chern--Simons Theory in Dimensions for Balanced 2-term -Algebras
Danhua Song, Yibo Wang
We construct a semistrict higher Chern--Simons (HCS) gauge theory in dimensions associated with balanced 2-term -algebras. Starting from the homotopy Maurer--Carta…
Generalized forms of types N = 1, 2 and higher gauge theory
Danhua Song, Mengyao Wu
In this paper, we give a compact formulation of strict higher gauge theory based on generalized (differential) forms that package fields of multiple form degrees into a single vari…
Higher (gauged) Wess--Zumino--Witten terms based on Lie crossed modules
Danhua Song
We derive higher Wess--Zumino--Witten (WZW) and gauged WZW (gWZW) terms within strict higher Chern--Simons (CS) gauge theory. Starting from the Cartan homotopy formula, we obtain t…
Higher descent equations based on 2-term algebras
Mengyao Wu, Danhua Song, Jie Yang
In this paper, we develop the higher descent equations for higher gauge theories within the framework of 2-term algebras. Starting from a multilinear symmetric invaria…
Extended Cartan homotopy formula for higher Chern-Simons-Antoniadis-Savvidy theory
Danhua Song
We consider extended Cartan homotopy formula (ECHF) for higher gauge theory. Firstly, we construct an oriented simplex based on 2-connections and present differential and integral…