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Chern-Simons vs. Yang-Mills gaugings in three dimensions

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arxiv hep-th/0303213 v1 pith:KRNGLVBG submitted 2003-03-25 hep-th

Hermann Nicolai , Henning Samtleben This is my paper · ORCID
classification hep-th
keywords chern-simonsgrouptypeyang-millsdimensionsgaugegaugingthree
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abstract

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 G_0, 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 $G_0 \ltimes T \subset G$, where T is a certain translation group, and where G is the maximal global symmetry group of the ungauged theory. We discuss several examples.

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  1. The Special Locus

    hep-th 2025-05 conditional novelty 6.0 of 10

    The special locus is equivalent to vanishing twisted gauge fields in 3D and to the 6D identity B2 = 1/4 B1, which trivializes one anti-self-dual tensor multiplet.

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