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Chern-Simons versus Yang-Mills gaugings in three-dimensions

Mar, 2003
15 pages
Published in:
  • Nucl.Phys.B 668 (2003) 167-178
e-Print:
DOI:
Report number:
  • AEI-2003-029,
  • ITP-UU-03-13,
  • SPIN-03-07
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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 G0⋉T⊂GG_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.
Note:
  • LaTeX2e, 15 pages, 1 figure Report-no: AEI-2003-029, ITP-UU-03/13, SPIN-03/07
  • 04.65.+e
  • 11.15.-q
  • gauge field theory: Yang-Mills
  • dimension: 3
  • Chern-Simons term
  • supergravity
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