Self-dual strings and N=2 supersymmetric field theory

We show how the Riemann surface \Sigma of N=2 Yang-Mills field theory arises in type II string compactifications on Calabi-Yau threefolds. The relevant local geometry is given by fibrations of ALE spaces. The 3-branes that give rise to BPS multiplets in the string descend to self-dual strings on the...

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Autores principales: Klemm, Albrecht, Lerche, Wolfgang, Mayr, Peter, Vafa, Cumrun, Warner, Nicholas P.
Lenguaje:eng
Publicado: 1996
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/0550-3213(96)00353-7
http://cds.cern.ch/record/300635
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author Klemm, Albrecht
Lerche, Wolfgang
Mayr, Peter
Vafa, Cumrun
Warner, Nicholas P.
author_facet Klemm, Albrecht
Lerche, Wolfgang
Mayr, Peter
Vafa, Cumrun
Warner, Nicholas P.
author_sort Klemm, Albrecht
collection CERN
description We show how the Riemann surface \Sigma of N=2 Yang-Mills field theory arises in type II string compactifications on Calabi-Yau threefolds. The relevant local geometry is given by fibrations of ALE spaces. The 3-branes that give rise to BPS multiplets in the string descend to self-dual strings on the Riemann surface, with tension determined by a canonically fixed Seiberg-Witten differential \lambda. The existence of BPS states is essentially reduced to a geodesic problem on the Riemann surface with metric |\lambda|^2. This allows us in particular, to determine the spectrum of {\it stable} BPS states in field theory. Moreover, we identify the six-dimensional space \IR^4\times \Sigma as the world-volume of a five-brane and show that BPS states correspond to two-branes ending on this five-brane.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1996
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spelling cern-3006352023-03-14T18:54:53Zdoi:10.1016/0550-3213(96)00353-7http://cds.cern.ch/record/300635engKlemm, AlbrechtLerche, WolfgangMayr, PeterVafa, CumrunWarner, Nicholas P.Self-dual strings and N=2 supersymmetric field theoryParticle Physics - TheoryWe show how the Riemann surface \Sigma of N=2 Yang-Mills field theory arises in type II string compactifications on Calabi-Yau threefolds. The relevant local geometry is given by fibrations of ALE spaces. The 3-branes that give rise to BPS multiplets in the string descend to self-dual strings on the Riemann surface, with tension determined by a canonically fixed Seiberg-Witten differential \lambda. The existence of BPS states is essentially reduced to a geodesic problem on the Riemann surface with metric |\lambda|^2. This allows us in particular, to determine the spectrum of {\it stable} BPS states in field theory. Moreover, we identify the six-dimensional space \IR^4\times \Sigma as the world-volume of a five-brane and show that BPS states correspond to two-branes ending on this five-brane.We show how the Riemann surface σ of N = 2 Yang-Mills field theory arises in type II string compactifications on Calabi-Yau threefolds. The relevant local geometry is given by fibrations of ALE spaces. The 3-branes that give rise to BPS multiplets in the string descend to self-dual strings on the Riemann surface, with tension determined by a canonically fixed Seiberg-Witten differential λ. This gives, effectively, a dual formulation of Yang-Mills theory in which gauge bosons and monopoles are treated on equal footing, and represents the rigid analog of type II/heterotic string duality. The existence of BPS states is essentially reduced to a geodesic problem on the Riemann surface with metric | λ | 2 . This allows us, in particular, to easily determine the spectrum of stable BPS states in field theory. Moreover, we identify the six-dimensional space R 4 × σ as the world-volume of a five-brane and show that BPS states correspond to two-branes ending on this five-brane.We show how the Riemann surface $\Sigma$ of $N=2$ Yang-Mills field theory arises in type II string compactifications on Calabi-Yau threefolds. The relevant local geometry is given by fibrations of ALE spaces. The $3$-branes that give rise to BPS multiplets in the string descend to self-dual strings on the Riemann surface, with tension determined by a canonically fixed Seiberg-Witten differential $\lambda$. This gives, effectively, a dual formulation of Yang-Mills theory in which gauge bosons and monopoles are treated on equal footing, and represents the rigid analog of type II-heterotic string duality. The existence of BPS states is essentially reduced to a geodesic problem on the Riemann surface with metric $|\lambda|^2$. This allows us, in particular, to easily determine the spectrum of {\it stable} BPS states in field theory. Moreover, we identify the six-dimensional space $\IR^4\times \Sigma$ as the world-volume of a five-brane and show that BPS states correspond to two-branes ending on this five-brane.hep-th/9604034CERN-TH-96-95HUTP-96-A014USC-96-008CERN-TH-96-095HUTP-96-A-014USC-96-008oai:cds.cern.ch:3006351996-04-08
spellingShingle Particle Physics - Theory
Klemm, Albrecht
Lerche, Wolfgang
Mayr, Peter
Vafa, Cumrun
Warner, Nicholas P.
Self-dual strings and N=2 supersymmetric field theory
title Self-dual strings and N=2 supersymmetric field theory
title_full Self-dual strings and N=2 supersymmetric field theory
title_fullStr Self-dual strings and N=2 supersymmetric field theory
title_full_unstemmed Self-dual strings and N=2 supersymmetric field theory
title_short Self-dual strings and N=2 supersymmetric field theory
title_sort self-dual strings and n=2 supersymmetric field theory
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/0550-3213(96)00353-7
http://cds.cern.ch/record/300635
work_keys_str_mv AT klemmalbrecht selfdualstringsandn2supersymmetricfieldtheory
AT lerchewolfgang selfdualstringsandn2supersymmetricfieldtheory
AT mayrpeter selfdualstringsandn2supersymmetricfieldtheory
AT vafacumrun selfdualstringsandn2supersymmetricfieldtheory
AT warnernicholasp selfdualstringsandn2supersymmetricfieldtheory

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