Non-anticommutative N=2 super-Yang-Mills theory with singlet deformation

We consider a non-anticommutative N=2 superspace with an SU(2) singlet and Lorentz scalar deformation parameter, $\{\theta^{\alpha i}, \theta^{\beta j}\}_\star = -2iP \epsilon^{\alpha\beta}\epsilon^{ij}$. We exploit this unique feature of the N=2 case to construct a deformation of the rank-one super...

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Detalles Bibliográficos
Autores principales: Ferrara, Sergio, Sokatchev, Emery
Lenguaje:eng
Publicado: 2003
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/j.physletb.2003.10.093
http://cds.cern.ch/record/633644
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author Ferrara, Sergio
Sokatchev, Emery
author_facet Ferrara, Sergio
Sokatchev, Emery
author_sort Ferrara, Sergio
collection CERN
description We consider a non-anticommutative N=2 superspace with an SU(2) singlet and Lorentz scalar deformation parameter, $\{\theta^{\alpha i}, \theta^{\beta j}\}_\star = -2iP \epsilon^{\alpha\beta}\epsilon^{ij}$. We exploit this unique feature of the N=2 case to construct a deformation of the rank-one super-Yang-Mills theory which preserves the full N=2 supersymmetry together with the SU(2) R symmetry and Lorentz invariance. The resulting action describes a kind of "heterotic special geometry" with antiholomorphic prepotential $\bar(\bar\phi) = \bar\phi^2 (1+P\bar\phi)^{-2}$.
id cern-633644
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2003
record_format invenio
spelling cern-6336442023-03-14T17:19:12Zdoi:10.1016/j.physletb.2003.10.093http://cds.cern.ch/record/633644engFerrara, SergioSokatchev, EmeryNon-anticommutative N=2 super-Yang-Mills theory with singlet deformationParticle Physics - TheoryWe consider a non-anticommutative N=2 superspace with an SU(2) singlet and Lorentz scalar deformation parameter, $\{\theta^{\alpha i}, \theta^{\beta j}\}_\star = -2iP \epsilon^{\alpha\beta}\epsilon^{ij}$. We exploit this unique feature of the N=2 case to construct a deformation of the rank-one super-Yang-Mills theory which preserves the full N=2 supersymmetry together with the SU(2) R symmetry and Lorentz invariance. The resulting action describes a kind of "heterotic special geometry" with antiholomorphic prepotential $\bar(\bar\phi) = \bar\phi^2 (1+P\bar\phi)^{-2}$.We consider a non-anticommutative N=2 superspace with an SU(2) singlet and Lorentz scalar deformation parameter, $\{\theta^{\alpha i},\theta^{\beta j}\}_\star = -2iP \e^{\alpha\beta}\e^{ij}$. We exploit this unique feature of the N=2 case to construct a deformation of the non-Abelian super-Yang-Mills theory which preserves the full N=2 supersymmetry together with the SU(2) R symmetry and Lorentz invariance. The resulting action describes a kind of heterotic special geometry with antiholomorphic prepotential $\bar f(\bar\phi) = Tr (\bar\phi^2 (1+P\bar\phi)^{-2})$.We consider a non-anticommutative N =2 superspace with an SU(2) singlet and Lorentz scalar deformation parameter, { θ αi , θ βj } ★ =−2 iPϵ αβ ϵ ij . We exploit this unique feature of the N =2 case to construct a deformation of the non-Abelian super-Yang–Mills theory which preserves the full N =2 supersymmetry together with the SU(2) R symmetry and Lorentz invariance. The resulting action describes a kind of “heterotic special geometry” with antiholomorphic prepotential f ̄ ( φ ̄ )= Tr ( φ ̄ 2 (1+P φ ̄ ) −2 ) .We consider a non-anticommutative N=2 superspace with an SU(2) singlet and Lorentz scalar deformation parameter, $\{\theta^{\alpha i},\theta^{\beta j}\}_\star = -2iP \e^{\alpha\beta}\e^{ij}$. We exploit this unique feature of the N=2 case to construct a deformation of the non-Abelian super-Yang-Mills theory which preserves the full N=2 supersymmetry together with the SU(2) R symmetry and Lorentz invariance. The resulting action describes a kind of "heterotic special geometry" with antiholomorphic prepotential $\bar f(\bar\phi) = Tr (\bar\phi^2 (1+P\bar\phi)^{-2})$.hep-th/0308021CERN-TH-2003-180LAPTH-992-03CERN-TH-2003-180LAPP-TH-992oai:cds.cern.ch:6336442003-08-04
spellingShingle Particle Physics - Theory
Ferrara, Sergio
Sokatchev, Emery
Non-anticommutative N=2 super-Yang-Mills theory with singlet deformation
title Non-anticommutative N=2 super-Yang-Mills theory with singlet deformation
title_full Non-anticommutative N=2 super-Yang-Mills theory with singlet deformation
title_fullStr Non-anticommutative N=2 super-Yang-Mills theory with singlet deformation
title_full_unstemmed Non-anticommutative N=2 super-Yang-Mills theory with singlet deformation
title_short Non-anticommutative N=2 super-Yang-Mills theory with singlet deformation
title_sort non-anticommutative n=2 super-yang-mills theory with singlet deformation
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/j.physletb.2003.10.093
http://cds.cern.ch/record/633644
work_keys_str_mv AT ferrarasergio nonanticommutativen2superyangmillstheorywithsingletdeformation
AT sokatchevemery nonanticommutativen2superyangmillstheorywithsingletdeformation

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