Non-Abelian Vortices on Cylinder -- Duality between vortices and walls

Details Non-Abelian Vortices on Cylinder -- Duality between vortices and walls Non-Abelian Vortices on Cylinder -- Duality between vortices and walls

2006-01-24

arxiv.org/abs/hep-th/0601181v2

Phys.Rev.D73:085008,2006

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, 17 figures, v2: references added, typos corrected, the final version published in PRD

Scientific paper

10.1103/PhysRevD.73.085008

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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