7 citations · 29 across the 10 of their papers we have counts for
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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…
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…
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…
Higher Chern-Simons-Antoniadis-Savvidy forms based on crossed modules
D. H. Song, K. Wu, J. Yang
We present higher Chern-Simons-Antoniadis-Savvidy (ChSAS) forms based on crossed modules. We start from introducing a generalized multilineal symmetric invariant polynomial for the…
Higher Chern-Simons based on (2-)crossed modules
Danhua Song, Mengyao Wu, Ke Wu +1
We present higher Chern-Simons theories based on (2-)crossed modules. We start from the generalized differential forms in Generalized Differential Calculus and define the correspon…
Higher form Yang-Mills as higher BFYM theories
Danhua Song, Kai Lou, Ke Wu +1
The YM theory has been generalized to 2YM and 3YM theories. Similarly, we generalize the BFYM theory to "2BFYM" and "3BFYM" theories. Then, we show that these higher BFYM theories…
3-form Yang-Mills based on 2-crossed modules
Danhua Song, Kai Lou, Ke Wu +2
In this paper, we study the higher Yang-Mills theory in the framework of higher gauge theory. It was shown that the 2-form electromagnetism can be generalized to the 2-form Yang-Mi…