@article{3c01307775d54f38aba6badb17c47afd,
title = "Dual formulations of vortex strings in a supersymmetric Abelian Higgs model",
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.",
author = "Muneto Nitta and Ryo Yokokura",
note = "Funding Information: R.Y. thanks Hiroshi Isono for helpful discussions. This work is supported by the Ministry of Education, Culture, Sports, Science (MEXT-)Supported Program for the Strategic Research Foundation at Private Universities {"}Topological Science{"} (Grant No. S1511006). The work of M.N. is also supported in part by the Japan Society for the Promotion of Science (JSPS) Grant-in-Aid for Scientific Research (KAKENHI Grants No. 16H03984 and No. 18H01217). The work of M.N. and R.Y. is also supported in part by a Grant-in-Aid for Scientific Research on Innovative Areas {"}Topological Materials Science{"} (KAKENHI Grant No. 15H05855) and {"}Discrete Geometric Analysis for Materials Design{"} (KAKENHI Grant No. 17H06462) from MEXT of Japan, respectively. Publisher Copyright: {\textcopyright} 2019 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the {"}https://creativecommons.org/licenses/by/4.0/{"} Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP ",
year = "2019",
month = sep,
day = "16",
doi = "10.1103/PhysRevD.100.065007",
language = "English",
volume = "100",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "6",
}