On the geometry of moduli space of vacua in N = 2 supersymmetric Yang-Mills theory

We consider generic properties of the moduli space of vacua in N=2 supersymmetric Yang--Mills theory recently studied by Seiberg and Witten. We find, on general grounds, Picard--Fuchs type of differential equations expressing the existence of a flat holomorphic connection, which for one parameter (i...

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Detalles Bibliográficos
Autores principales: Ceresole, Anna, D'Auria, R., Ferrara, S.
Lenguaje:eng
Publicado: 1994
Materias:
General Theoretical Physics
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(94)91134-7
http://cds.cern.ch/record/266980
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author Ceresole, Anna
D'Auria, R.
Ferrara, S.
author_facet Ceresole, Anna
D'Auria, R.
Ferrara, S.
author_sort Ceresole, Anna
collection CERN
description We consider generic properties of the moduli space of vacua in N=2 supersymmetric Yang--Mills theory recently studied by Seiberg and Witten. We find, on general grounds, Picard--Fuchs type of differential equations expressing the existence of a flat holomorphic connection, which for one parameter (i.e. for gauge group G=SU(2)), are second order equations. In the case of coupling to gravity (as in string theory), where also ``gravitational'' electric and magnetic monopoles are present, the electric--magnetic S duality, due to quantum corrections, does not seem any longer to be related to Sl(2,\IZ) as for N=4 supersymmetric theory.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1994
record_format invenio
spelling cern-2669802023-03-14T16:35:47Zdoi:10.1016/0370-2693(94)91134-7doi:10.1016/0370-2693(94)91134-7http://cds.cern.ch/record/266980engCeresole, AnnaD'Auria, R.Ferrara, S.On the geometry of moduli space of vacua in N = 2 supersymmetric Yang-Mills theoryGeneral Theoretical PhysicsWe consider generic properties of the moduli space of vacua in N=2 supersymmetric Yang--Mills theory recently studied by Seiberg and Witten. We find, on general grounds, Picard--Fuchs type of differential equations expressing the existence of a flat holomorphic connection, which for one parameter (i.e. for gauge group G=SU(2)), are second order equations. In the case of coupling to gravity (as in string theory), where also ``gravitational'' electric and magnetic monopoles are present, the electric--magnetic S duality, due to quantum corrections, does not seem any longer to be related to Sl(2,\IZ) as for N=4 supersymmetric theory.We consider generic properties of the moduli space of vacua in $N=2$ supersymmetric Yang--Mills theory recently studied by Seiberg and Witten. We find, on general grounds, Picard--Fuchs type of differential equations expressing the existence of a flat holomorphic connection, which for one parameter (i.e. for gauge group $G=SU(2)$), are second order equations. In the case of coupling to gravity (as in string theory), where also ``gravitational'' electric and magnetic monopoles are present, the electric--magnetic S duality, due to quantum corrections, does not seem any longer to be related to $Sl(2,\IZ)$ as for $N=4$ supersymmetric theory.We consider generic properties of the moduli space of vacua in $N=2$ supersymmetric Yang--Mills theory recently studied by Seiberg and Witten. We find, on general grounds, Picard--Fuchs type of differential equations expressing the existence of a flat holomorphic connection, which for one parameter (i.e. for gauge group $G=SU(2)$), are second order equations. In the case of coupling to gravity (as in string theory), where also ``gravitational'' electric and magnetic monopoles are present, the electric--magnetic S duality, due to quantum corrections, does not seem any longer to be related to $Sl(2,\IZ)$ as for $N=4$ supersymmetric theory.We consider generic properties of the moduli space of vacua in N = 2 supersymmetric Yang-Mills theory recently studied 4by Seiberg and Witten. We find, on general grounds, Picard-Fuchs type of differential equations expressing the existence of a flat holomorphic connection, which for one parameter (i.e. for gauge group G = SU (2)), are second order equations. In the case of coupling to gravity (as in string theory), where also “gravitational” dyons are present, the electric-magnetic S duality, due to quantum corrections, does not seem any longer to be directly related to Sl(2, Z ) as for N = 4 supersymmetric theory.We consider generic properties of the moduli space of vacua in $N=2$ supersymmetric Yang--Mills theory recently studied by Seiberg and Witten. We find, on general grounds, Picard--Fuchs type of differential equations expressing the existence of a flat holomorphic connection, which for one parameter (i.e. for gauge group $G=SU(2)$), are second order equations. In the case of coupling to gravity (as in string theory), where also ``gravitational'' electric and magnetic monopoles are present, the electric--magnetic S duality, due to quantum corrections, does not seem any longer to be related to $Sl(2,\mathbb{Z})$ as for $N=4$ supersymmetric theory.hep-th/9408036CERN-TH-7384-94POLFIS-TH-07-94CERN-TH-7384-94POLFIS-TH-94-7oai:cds.cern.ch:2669801994-08-05
spellingShingle General Theoretical Physics
Ceresole, Anna
D'Auria, R.
Ferrara, S.
On the geometry of moduli space of vacua in N = 2 supersymmetric Yang-Mills theory
title On the geometry of moduli space of vacua in N = 2 supersymmetric Yang-Mills theory
title_full On the geometry of moduli space of vacua in N = 2 supersymmetric Yang-Mills theory
title_fullStr On the geometry of moduli space of vacua in N = 2 supersymmetric Yang-Mills theory
title_full_unstemmed On the geometry of moduli space of vacua in N = 2 supersymmetric Yang-Mills theory
title_short On the geometry of moduli space of vacua in N = 2 supersymmetric Yang-Mills theory
title_sort on the geometry of moduli space of vacua in n = 2 supersymmetric yang-mills theory
topic General Theoretical Physics
url https://dx.doi.org/10.1016/0370-2693(94)91134-7
https://dx.doi.org/10.1016/0370-2693(94)91134-7
http://cds.cern.ch/record/266980
work_keys_str_mv AT ceresoleanna onthegeometryofmodulispaceofvacuainn2supersymmetricyangmillstheory
AT dauriar onthegeometryofmodulispaceofvacuainn2supersymmetricyangmillstheory
AT ferraras onthegeometryofmodulispaceofvacuainn2supersymmetricyangmillstheory

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