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 non-supersymmetric 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/λ and 1/N (where λ is the ’t Hooft coupling) we find a global U(1) symmetry and states with masses comparable to glueball masses, which have no counterpart in the more familiar (finite λ,N) Yang–Mills theories. CERN-TH/98-409 December 1998