2016

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

Carow-Watamura, Ursula, Heller, Marc Andre, Ikeda, Noriaki et al.

Understand

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.

Built on

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