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We show that certain five dimensional, N=2 Yang-Mills/Einstein supergravitytheories admit the gauging of the full R-symmetry group, SU(2)_R, of theunderlying N=2 Poincare superalgebra. This generalizes the previously studiedAbelian gaugings of U(1)_R subgroup of SU(2)_R and completes the constructionof the most general vector and tensor field coupled five dimensional N=2supergravity theories with gauge interactions. The gauging of SU(2)_R turns outto be possible only in special cases, and leads to a new type of scalarpotential. For a large class of these theories the potential does not have anycritical points.Comment: Latex file, 15 pages ; section two is split in two and the discussion  of the critical points is moved into the new section. Version to appear in  Physical Review

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Gauging the full<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>R</mml:mi></mml:math>-symmetry group in five-dimensional,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mn /></mml:math>Yang-Mills-Einstein-tensor supergravity

Gauging the fullR-symmetry group in five-dimensional,N=2Yang-Mills-Einstein-tensor supergravity