Dual formulations of vortex strings in supersymmetric Abelian Higgs model

Muneto Nitta, Ryo Yokokuray

Research output: Contribution to journalArticlepeer-review


We discuss dual formulations of vortex strings (magnetic flux tubes) in the four-dimensional N = 1 supersymmetric Abelian Higgs model with the Fayet{ Iliopoulos term in the superspace formalism. The Lagrangian of the model is dualized into a Lagrangian of the BF-type described by a chiral spinor gauge superfield including a 2-form gauge field. The dual Lagrangian is further dualized into a Lagrangian given by a chiral spinor superfield including a massive 2-form field. In both of the dual formulations, we obtain a superfield into which the vortex strings and their superpartners are embedded. We show the dual Lagrangians in terms of a superspace and a component formalism. In these dual Lagrangians, we explicitly show that the vortex strings of the original model are described by a string current electrically coupled with the 2-form gauge field or the massive 2-form field.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2018 Dec 31

ASJC Scopus subject areas

  • General

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