I know that if one gauges the supersymmetry group, you get supergravity. You can then further gauge the R-symmetry and these are the so-called gauged supergravities. But I don't think I've seen anyone gauge the R-symmetry in a theory with global supersymmetry (ie, just a supersymmetric field theory but not supergravity). So my question is: Can this be done? If so, are there any references on the matter? (I couldn't find any in my brief search of the arXiv.) If not, what is the problem with only gauging the R-symmetry?