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We study probe D5 branes in D3 brane AdS_5 and AdS_5-Schwarzschildbackgrounds as a prototype dual description of strongly coupled 2+1 dimensionalquasi-particles. We introduce a chemical potential for a weakly gauged U(1)subgroup of the theory's global R-symmetry by spinning the D5 branes. Theresulting D5 embeddings are complicated by the existence of a region of thespace in which the local speed of light falls below the rotation speed. We findregular embeddings through this region and show that the system does notexhibit the spontaneous symmetry breaking that would be needed for asuperconductor.

R-Charge Chemical Potential in a 2+1 Dimensional System