Integrable structure in supersymmetric gauge theories with massive hypermultiplets

We study the quantum moduli space of vacua of N = 2 supersymmetric SU(N-c) gauge theories coupled to N-f flavors of quarks in the fundamental representation. We identify the moduli space of the N-c = 3 and N-f = 2 massless case with the full spectral curve obtained from the Lax representation of the Goryachev-Chaplygin top. For the case with massive quarks, we present an integrable system where the corresponding hyperelliptic curve parametrizing the Laurent solution coincides with that of the moduli space of N-c = 3 with N-f = 0, 1,2. We discuss possible generalizations of the integrable systems relevant to gauge theories with N-c not equal 3 and general N-f.