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Non-Abelian vortices on a cylinder: Duality between vortices and walls

2006/01/31 by Minoru Eto, Toshiaki Fujimori, Youichi Isozumi +4 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #hep-th

paper · pdf · doi:10.1103/physrevd.73.085008

published as Phys.Rev.D73:085008,2006 · 33 pages, 17 figures, v2: references added, typos corrected, the final version published in PRD

openalex publication_date 2006/04/19 · arxiv created 2006/05/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We investigate vortices on a cylinder in supersymmetric non-Abelian gauge theory with hypermultiplets in the fundamental representation. We identify moduli space of periodic vortices and find that a pair of wall-like objects appears as the vortex moduli is varied. Usual domain walls also can be obtained from the single vortex on the cylinder by introducing a twisted boundary condition. We can understand these phenomena as a T duality among D-brane configurations in type II superstring theories. Using this T-duality picture, we find a one-to-one correspondence between the moduli space of non-Abelian vortices and that of kinky D-brane configurations for domain walls.

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