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Brane cube realization of three-dimensional nonabelian orbifolds

1999/12/30 by Tomomi Muto
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1088/1126-6708/2000/02/026

published as JHEP 0002 (2000) 026 · 19 pages, 14 figures

arxiv created 1999/12/30 · openalex publication_date 2000/02/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study D-branes on three-dimensional orbifolds \bf C3/Γ where Γ are finite subgroups of SU(3). The quiver diagram of \ZnZn ∈ SU(3) can be expressed in three-dimensional form. According to the correspondence between quiver diagrams and brane configurations, we construct a brane configuration for \bf C3/\ZnZn which has essentially three-dimensional structrue. Brane configurations for nonabelian orbifolds \C3/Δ(3n2) and \C3/Δ(6n2) are obtained from that for \C3/\ZnZn by certain quotienting procedure.

Citations