Abstract
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 language | English |
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Article number | 065007 |
Journal | Physical Review D |
Volume | 100 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2019 Sep 16 |
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)