N = 2 supersymmetric QCD and elliptic potentials
نویسنده
چکیده
We investigate the relation between the four dimensional N = 2 SU(2) super Yang-Mills theory with four fundamental flavors and the quantum mechanics model with Treibich-Verdier potential described by the Heun equation in the elliptic form. We study the precise correspondence of quantities in the gauge theory and the quantum mechanics model. An iterative method is used to obtain the asymptotic expansion of the spectrum for the Schrödinger operator, we are able to fix the precise relation between the energy spectrum and the instanton partition function of the gauge theory. We also study asymptotic expansions for the spectrum which correspond to the strong coupling regions of the Seiberg-Witten theory.
منابع مشابه
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We discuss the construction of the spectral curve and the action integrals for the " elliptic " XY Z spin chain of the length Nc. Our analysis can reflect the integrable structure behind the " elliptic " N = 2 supersymmetric QCD with N f = 2Nc .
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