Chern-Simons Gauge Theory coupled with BF Theory
Noriaki Ikeda
TL;DR
This paper explores a novel three-dimensional topological field theory by coupling Chern-Simons and BF theories, analyzing its gauge symmetry and deformations using the antifield BRST formalism.
Contribution
It introduces a new topological field theory with nontrivial terms and gauge symmetry based on the Courant algebroid, expanding the understanding of gauge interactions in 3D.
Findings
Discovery of a new topological field theory in three dimensions.
Identification of gauge symmetry related to Courant algebroid.
Analysis of consistent interaction terms via antifield BRST formalism.
Abstract
We couple three-dimensional Chern-Simons gauge theory with BF theory and study deformations of the theory by means of the antifield BRST formalism. We analyze all possible consistent interaction terms for the action under physical requirements and find a new topological field theory in three dimensions with new nontrivial terms and a nontrivial gauge symmetry. We analyze the gauge symmetry of the theory and point out the theory has the gauge symmetry based on the Courant algebroid.
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