A note on instanton counting for N=2 gauge theories with classical gauge groups

We study the prepotential of N=2 gauge theories using the instanton counting techniques introduced by Nekrasov. For the SO theories without matter we find a closed expression for the full prepotential and its string theory gravitational corrections. For the more subtle case of Sp theories without ma...

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Detalles Bibliográficos
Autores principales: Marino, M, Wyllard, N
Lenguaje:eng
Publicado: 2004
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2004/05/021
http://cds.cern.ch/record/730874
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author Marino, M
Wyllard, N
author_facet Marino, M
Wyllard, N
author_sort Marino, M
collection CERN
description We study the prepotential of N=2 gauge theories using the instanton counting techniques introduced by Nekrasov. For the SO theories without matter we find a closed expression for the full prepotential and its string theory gravitational corrections. For the more subtle case of Sp theories without matter we discuss general features and compute the prepotential up to instanton number three. We also briefly discuss SU theories with matter in the symmetric and antisymmetric representations. We check all our results against the predictions of the corresponding Seiberg-Witten geometries.
id cern-730874
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2004
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spelling cern-7308742019-09-30T06:29:59Zdoi:10.1088/1126-6708/2004/05/021http://cds.cern.ch/record/730874engMarino, MWyllard, NA note on instanton counting for N=2 gauge theories with classical gauge groupsParticle Physics - TheoryWe study the prepotential of N=2 gauge theories using the instanton counting techniques introduced by Nekrasov. For the SO theories without matter we find a closed expression for the full prepotential and its string theory gravitational corrections. For the more subtle case of Sp theories without matter we discuss general features and compute the prepotential up to instanton number three. We also briefly discuss SU theories with matter in the symmetric and antisymmetric representations. We check all our results against the predictions of the corresponding Seiberg-Witten geometries.hep-th/0404125CERN-PH-TH-2004-068oai:cds.cern.ch:7308742004-04-19
spellingShingle Particle Physics - Theory
Marino, M
Wyllard, N
A note on instanton counting for N=2 gauge theories with classical gauge groups
title A note on instanton counting for N=2 gauge theories with classical gauge groups
title_full A note on instanton counting for N=2 gauge theories with classical gauge groups
title_fullStr A note on instanton counting for N=2 gauge theories with classical gauge groups
title_full_unstemmed A note on instanton counting for N=2 gauge theories with classical gauge groups
title_short A note on instanton counting for N=2 gauge theories with classical gauge groups
title_sort note on instanton counting for n=2 gauge theories with classical gauge groups
topic Particle Physics - Theory
url https://dx.doi.org/10.1088/1126-6708/2004/05/021
http://cds.cern.ch/record/730874
work_keys_str_mv AT marinom anoteoninstantoncountingforn2gaugetheorieswithclassicalgaugegroups
AT wyllardn anoteoninstantoncountingforn2gaugetheorieswithclassicalgaugegroups
AT marinom noteoninstantoncountingforn2gaugetheorieswithclassicalgaugegroups
AT wyllardn noteoninstantoncountingforn2gaugetheorieswithclassicalgaugegroups

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