Brane Configurations for Three-dimensional Nonabelian Orbifolds

dc.creatorMuto, Tomomi
dc.date1999-05-31
dc.date1999-11-04
dc.date.accessioned2026-07-07T04:26:32Z
dc.date.available2026-07-07T04:26:32Z
dc.descriptionWe study brane configurations corresponding to D-branes on complex three-dimensional orbifolds ${\bf C}^3/Γ$ with $Γ=Δ(3n^2)$ and $Δ(6n^2)$, nonabelian finite subgroups of SU(3). We first construct a brane configuration for ${\bf C}^3/{\bf Z}_n \times {\bf Z}_n$ by using D3-branes and a web of (p,q) 5-branes of type IIB string theory. Brane configurations for the nonabelian orbifolds are obtained by performing certain quotients on the configuration for ${\bf C}^3/{\bf Z}_n \times {\bf Z}_n$. Structure of the quiver diagrams of the groups $Δ(3n^2)$ and $Δ(6n^2)$ can be reproduced from the brane configurations. We point out that the brane configuration for ${\bf C}^3/Γ$ can be regarded as a physical realization of the quiver diagram of $Γ$. Based on this observation, we discuss that three-dimensional McKay correspondence may be interpreted as T-duality.
dc.description22 pages, 12 figures, T-duality interpretation of the McKay correspondence added
dc.identifierhttps://arxiv.org/abs/hep-th/9905230
dc.identifierhttp://arxiv.org/abs/hep-th/9905230
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56083
dc.subjectHigh Energy Physics - Theory
dc.titleBrane Configurations for Three-dimensional Nonabelian Orbifolds
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