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Vacuum Structure and Spectrum of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">N</mml:mi><mml:mspace /><mml:mo>=</mml:mo><mml:mspace /><mml:mn>2</mml:mn><mml:mn /></mml:math>Supersymmetric<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">SU</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">n</mml:mi><mml:mo>)</mml:mo></mml:math>Gauge Theory
We present an exact description of the metric on the moduli space of vacua and the spectrum of massive states for four dimensional $N\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}2$ supersymmetric $\mathrm{SU}(n)$ gauge theories. The moduli space of quantum vacua is identified with the moduli space of a special set of genus $n\ensuremath{-}1$ hyperelliptic Riemann surfaces.