D-term strings

@article{Dvali2004DtermS,
  title={D-term strings},
  author={Gia Dvali and Renata Kallosh and Antoine Van Proeyen},
  journal={Journal of High Energy Physics},
  year={2004},
  volume={8},
  pages={035}
}
We study the embedding of cosmic strings, related to the Abrikosov-Nielsen-Olesen vortex solution, into d = 4, N = 1 supergravity. We find that the local cosmic string solution which saturates the BPS bound of supergravity with D-term potential for the Higgs field and with constant Fayet–Iliopoulos term, has 1/2 of supersymmetry unbroken. We observe an interesting relation between the gravitino supersymmetry transformation, positive energy condition and the deficit angle of the cosmic string… 
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