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

Journal Article · Sat Apr 15 04:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.73.085008· OSTI ID:20782934

Eto, Minoru; Fujimori, Toshiaki; Isozumi, Youichi; Nitta, Muneto; Ohashi, Keisuke; Sakai, Norisuke ^[1]; Ohta, Kazutoshi ^[2]

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1. Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551 (Japan)
2. Theoretical Physics Laboratory, The Institute of Physical and Chemical Research (RIKEN), Wako 351-0198 (Japan)

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.

• OSTI ID: 20782934
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 73; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
CYLINDERS
DUALITY
GAUGE INVARIANCE
MEMBRANES
PERIODICITY
QUANTUM FIELD THEORY
SUPERSTRING MODELS
SUPERSYMMETRY
VORTICES
WALLS