Rotating D3-branes and QCD in three dimensions

We investigate the rotating D3-brane solution with maximum number of angular momentum parameters. After determining the angular velocities, Hawking temperature, ADM mass and entropy, we use this geometry to construct general three-parameter models of nonsupersymmetric pure SU(N) Yang-Mills theories in 2+1 dimensions. We calculate glueball masses in the WKB approximation and obtain closed analytic expressions for generic values of the parameters. We also determine the masses of Kaluza-Klein states associated with internal parts of the ten-dimensional metric and investigate the parameter region where some of these states are decoupled. To leading order in 1/A and 1/JV (where A is the 't Hooft coupling) we find a global ^(l) 3 symmetry and states with masses comparable to glueball masses, which have no counterpart in the more familiar (finite A, N) Yang-Mills theories.