SPECTRAL CURVES FOR SUPER-YANG-MILLS WITH ADJOINT HYPERMULTIPLET FOR GENERAL SIMPLE LIE-ALGEBRAS

The Seiberg-Witten curves and differentials for N = 2 supersymmetric Y ang-Mills theories with one hypermultiplet of mass m in the adjoint re presentation of the gauge algebra G, are constructed for arbitrary cla ssical or exceptional simple G (except G(2)) The curves are obtained f rom the recently established Lax pairs with spectral parameter for the (twisted) elliptic Calogero-Moser integrable systems associated with the algebra G. Curves and differentials are shown to have the proper g roup theoretic and complex analytic structure, and to behave as expect ed when m tends either to 0 or to infinity, By way of example, the pre potential for G = D-n, evaluated with these techniques, is shown to ag ree with standard perturbative results, A renormalization group type e quation relating the prepotential to the Calogero-Moser Hamiltonian is obtained for arbitrary G, generalizing a previous result for G = SU(N ). Duality properties and decoupling to theories with other representa tions are briefly discussed. (C) 1998 Elsevier Science B.V.