Non Abelian Vortices as Instantons on Noncommutative Discrete Space

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dc.creatorIkemori, Hitoshi
dc.creatorKitakado, Shinsaku
dc.creatorOtsu, Hideharu
dc.creatorSato, Toshiro
dc.date2008-08-18
dc.date2008-12-02
dc.date.accessioned2026-07-07T12:38:44Z
dc.date.available2026-07-07T12:38:44Z
dc.descriptionThere seems to be close relationship between the moduli space of vortices and the moduli space of instantons, which is not yet clearly understood from a standpoint of the field theory. We clarify the reasons why many similarities are found in the methods for constructing the moduli of instanton and vortex, viewed in the light of the notion of the self-duality. We show that the non-Abelian vortex is nothing but the instanton in $R^{2} \times Z_{2}$ from a viewpoint of the noncommutative differential geometry and the gauge theory in discrete space. The action for pure Yang-Mills theory in $R^{2} \times Z_{2}$ is equivalent to that for Yang-Mills-Higgs theory in $R^{2} $.
dc.description19 pages, various arguments are added, the exposition is improved
dc.identifierhttps://arxiv.org/abs/0808.2396
dc.identifierhttp://arxiv.org/abs/0808.2396
dc.identifierJHEP 0902:004,2009
dc.identifierdoi:10.1088/1126-6708/2009/02/004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218867
dc.subjectHigh Energy Physics - Theory
dc.titleNon Abelian Vortices as Instantons on Noncommutative Discrete Space
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