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arXiv · 1606.03861

Higher Gauge Theories from Lie n-algebras and Off-Shell Covariantization

Ursula Carow-Watamura·Marc Andre Heller·Noriaki Ikeda·Yukio Kaneko·Satoshi Watamura
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Abstract

We analyze higher gauge theories in various dimensions using a supergeometric method based on a differential graded symplectic manifold, called a QP-manifold, which is closely related to the BRST-BV formalism in gauge theories. Extensions of the Lie 2-algebra gauge structure are formulated within the Lie n-algebra induced by the QP-structure. We find that in 5 and 6 dimensions there are special extensions of the gauge algebra. In these cases, a restriction of the gauge symmetry by imposing constraints on the auxiliary gauge fields leads to a covariantized theory. As an example we show that we can obtain an off-shell covariantized higher gauge theory in 5 dimensions, which is similar to the one proposed in [1] (arxiv:1206.5643).

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Ursula Carow-Watamura, Marc Andre Heller, Noriaki Ikeda, Yukio Kaneko, Satoshi Watamura. 2016-06-13. Higher Gauge Theories from Lie n-algebras and Off-Shell Covariantization. https://doi.org/10.1007/jhep07(2016)125

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