Integrable structure in supersymmetric gauge theories with massive hypermultiplets

Details Integrable structure in supersymmetric gauge theories with massive hypermultiplets Integrable structure in supersymmetric gauge theories with massive hypermultiplets

1996-03-06

arxiv.org/abs/hep-th/9603028v1

Phys.Lett.B387:304-309,1996

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, latex, no figures

Scientific paper

10.1016/0370-2693(96)00996-3

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 {\it 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 \neq 3 $ and general $N_f$.

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