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math-ph2026
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…
math-ph2026★ 1 cited
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…
math-ph2025
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…