Hyperelliptic curves for supersymmetric Yang-Mills

In this paper we discuss the hyperelliptic curve for N=2 SU(3) super Yang-Mills with six flavors of hypermultiplets. We start with a generic genus two surface and construct the curve in terms of genus two theta functions. From this one can construct the curve for m_i=u=0. This curve is explicitly du...

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Detalles Bibliográficos
Autores principales: Minahan, Joseph A., Nemeschansky, Dennis
Lenguaje:eng
Publicado: 1995
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/0550-3213(95)00672-9
http://cds.cern.ch/record/284382
Descripción
Sumario:In this paper we discuss the hyperelliptic curve for N=2 SU(3) super Yang-Mills with six flavors of hypermultiplets. We start with a generic genus two surface and construct the curve in terms of genus two theta functions. From this one can construct the curve for m_i=u=0. This curve is explicitly dual under a subgroup of Sp(4,Z) which is not isomorphic to Sp(2,Z). We then proceed to construct the curve for the general SU(3) theory and discuss the duality properties of the theory. The results given here differ from those given previously.

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