Chern-Simons as a geometrical set up for three dimensional gauge theories
V.E.R.Lemes, C. Linhares de Jesus, S.P. Sorella, L.C.Q.Vilar,, O.S.Ventura
TL;DR
This paper explores how three-dimensional Yang-Mills gauge theories with Chern-Simons terms can be derived from pure topological Chern-Simons actions via nonlinear covariant redefinitions of the gauge field.
Contribution
It demonstrates a novel geometric framework linking Yang-Mills theories to topological Chern-Simons actions through covariant redefinitions.
Findings
Yang-Mills theories can be generated from Chern-Simons actions
Nonlinear covariant redefinitions relate gauge fields to topological terms
Provides a geometric interpretation of gauge theories in 3D
Abstract
Three dimensional Yang-Mills gauge theories in the presence of the Chern-Simons action are seen as being generated by the pure topological Chern-Simons term through nonlinear covariant redefinitions of the gauge field
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