English

Supersymmetric Dyonic Strings in 6-Dimensions from 3-Dimensions

High Energy Physics - Theory 2020-10-02 v5

Abstract

It was shown in arXiv:1410.7168 that compactifying D=6D=6, N=(1,0)\mathcal{N}=(1,0) ungauged supergravity coupled to a single tensor multiplet on S3^3 one gets a particular D=3D=3, N=4\mathcal{N}=4 gauged supergravity which is a consistent reduction. We construct two supersymmetric black string solutions in this 3-dimensional model with one and two active scalars respectively. Uplifting the first, one gets a dyonic string solution in D=6D=6 that has been known for a long time. Whereas, uplifting the second solution, one finds a very interesting configuration where magnetic strings are located uniformly on a circle in a plane within the 4-dimensional flat transverse space and electric strings are distributed homogeneously inside this circle. Both solutions have AdS3×\mathrm{AdS}_3 \times S3^3 limits.

Keywords

Cite

@article{arxiv.1902.05325,
  title  = {Supersymmetric Dyonic Strings in 6-Dimensions from 3-Dimensions},
  author = {Nihat Sadik Deger and Nicolò Petri and Dieter Van den Bleeken},
  journal= {arXiv preprint arXiv:1902.05325},
  year   = {2020}
}

Comments

20 pages, 1 appendix, 1 figure; v2: minor corrections, added references; v3: added comments and references, published version; v5: minor correction to eqn. (2.8)

R2 v1 2026-06-23T07:40:53.531Z