Exact discretness and mass gap of N=1 symplectic Yang-Mills from M-theory

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In this note we summarize some of the results found recently in hep-th/0609054. We show the pure discretness of the non-perturbative quantum spectrum of a symplectic Yang-Mills theory defined on a Riemann surface of positive genus, living in a target space that, in particular, can be 4D. This theory corresponds to the membrane with central charges. The presence of the central charge induces a confinement in the phase at zero temperature. When the energy rises, the center of the group breaks and the theory enters in a quark-plasma phase after a topological transition, corresponding to the N=4 wrapped supermembrane.
5pg, latex, w-art class. To appear in the proceedings "RTN ForcesUniverse" Naples, October 9-13, 2006

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