Abstract
We prove the non-abelian Poincare lemma in higher gauge theory in two different ways. The first method uses a result by Jacobowitz which states solvability conditions for differential equations of a certain type. The second method extends a proof by Voronov and yields the explicit gauge parameters connecting a flat local connective structure to the trivial one. Finally, we show how higher flatness appears as a necessary integrability condition of a linear system which featured in recently developed twistor descriptions of higher gauge theories.
Original language | English |
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Article number | 082902 |
Journal | Journal of Mathematical Physics |
Volume | 56 |
Issue number | 8 |
DOIs | |
Publication status | Published - 28 Aug 2015 |
Keywords
- hep-th
- math-ph
- math.DG
- math.MP