Chern–Simons vs. Yang–Mills gaugings in three dimensions Original Research Article

Recently, gauged supergravities in three dimensions with Yang–Mills and Chern–Simons type interactions have been constructed. In this article, we demonstrate that any gauging of Yang–Mills type with semisimple gauge group G0, possibly including extra couplings to massive Chern–Simons vectors, is equivalent on-shell to a pure Chern–Simons type gauging with non-semisimple gauge group G0⋉T⊂G, where T is a certain translation group, and where G is the maximal global symmetry group of the ungauged theory. We discuss several examples.