Off-Shell Covariantization of Algebroid Gauge Theories
Ursula Carow-Watamura, Marc Andre Heller, Noriaki Ikeda, Tomokazu, Kaneko, Satoshi Watamura
TL;DR
This paper introduces a generalized off-shell covariantization method for constructing gauge theories with Lie n-algebroid symmetry, extending the framework of Yang-Mills actions in a supergeometric setting.
Contribution
It develops a novel off-shell covariantization procedure for Lie n-algebroid gauge theories, enabling systematic construction of gauge-invariant actions.
Findings
Constructed Yang-Mills type actions with Lie n-algebroid gauge symmetry.
Applied the method to systems with 1-form gauge fields and scalar fields.
Worked out characteristic examples demonstrating the approach.
Abstract
We present a generalized method to construct field strengths and gauge symmetries, which yield a Yang-Mills type action with Lie n-algebroid gauge symmetry. The procedure makes use of off-shell covariantization in a supergeometric setting. We apply this method to the system of a 1-form gauge field and scalar fields with Lie n-algebroid gauge symmetry. We work out some characteristic examples.
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