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Rotating D3-branes and QCD in three dimensions. (English) Zbl 0938.81037

Summary: The authors investigate the rotating D3-brane solution with maximum number of angular momentum parameters. After determining the angular velocities, Hawking temperature, ADM mass and entropy, they use this geometry to construct general three-parameter models of nonsupersymmetric pure \(SU(N)\) Yang-Mills theories in \(2+1\) dimensions. They calculate glueball masses in the WKB approximation and obtain closed analytic expressions for generic values of the parameters. They 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 \(1/\lambda\) and \(1/N\) (where \(\lambda\) is the ’t Hooft coupling) they find a global \(U(1)^3\) symmetry and states with masses comparable to glueball masses, which have no counterpart in the more familiar (finite \(\lambda,N\)) Yang-Mills theories.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81Q20 Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory
81V05 Strong interaction, including quantum chromodynamics
83E30 String and superstring theories in gravitational theory