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
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author Minahan, Joseph A.
Nemeschansky, Dennis
author_facet Minahan, Joseph A.
Nemeschansky, Dennis
author_sort Minahan, Joseph A.
collection CERN
description 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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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1995
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spelling cern-2843822023-03-12T06:05:32Zdoi:10.1016/0550-3213(95)00672-9http://cds.cern.ch/record/284382engMinahan, Joseph A.Nemeschansky, DennisHyperelliptic curves for supersymmetric Yang-MillsParticle Physics - TheoryIn 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.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.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-2 surface and construct the curve in terms of genus-2 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.hep-th/9507032USC-95-019CERN-TH-95-167CERN-TH-95-167USC-95-019oai:cds.cern.ch:2843821995-07-06
spellingShingle Particle Physics - Theory
Minahan, Joseph A.
Nemeschansky, Dennis
Hyperelliptic curves for supersymmetric Yang-Mills
title Hyperelliptic curves for supersymmetric Yang-Mills
title_full Hyperelliptic curves for supersymmetric Yang-Mills
title_fullStr Hyperelliptic curves for supersymmetric Yang-Mills
title_full_unstemmed Hyperelliptic curves for supersymmetric Yang-Mills
title_short Hyperelliptic curves for supersymmetric Yang-Mills
title_sort hyperelliptic curves for supersymmetric yang-mills
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/0550-3213(95)00672-9
http://cds.cern.ch/record/284382
work_keys_str_mv AT minahanjosepha hyperellipticcurvesforsupersymmetricyangmills
AT nemeschanskydennis hyperellipticcurvesforsupersymmetricyangmills

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