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arXiv · 2601.21607

Generalized forms of types N = 1, 2 and higher gauge theory

Danhua Song·Mengyao Wu
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Abstract

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 variable. We define generalized forms valued in higher algebras and higher groups and derive the corresponding Maurer--Cartan structures. This leads to uniform, gauge-theory-like expressions for higher connections, curvatures, Bianchi identities, and gauge transformations. We further construct action principles for higher Chern--Simons and higher Yang--Mills theories within the same formalism and compute the associated topological densities in the corresponding dimensions.

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Danhua Song, Mengyao Wu. 2026-01-29. Generalized forms of types N = 1, 2 and higher gauge theory. https://arxiv.org/abs/2601.21607

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