Josephson vortices and the Atiyah-Manton construction

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51 Citations (Scopus)


We show that sine-Gordon solitons appear in the low-energy effective theory of a domain wall in a U(1) gauge theory with two charged complex scalar fields with masses if we introduce the Josephson interaction term between the scalar fields. We identify these sine-Gordon solitons as vortices or CP1 sigma model instantons in the bulk, which are absorbed into the domain wall world volume. These vortices can be called Josephson vortices since they appear in Josephson junctions of two superconductors. This setup gives a physical realization of a lower-dimensional analogue of Atiyah-Manton construction of Skyrmions from instanton holonomy.

Original languageEnglish
Article number125004
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number12
Publication statusPublished - 2012 Dec 3

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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