Abstract
It was shown in arXiv:1410.7168 that compactifying D = 6, \( \mathcal{N}=\left(1,0\right) \) ungauged supergravity coupled to a single tensor multiplet on S3 one gets a particular D = 3, \( \mathcal{N}=4 \) 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 = 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 × S3 limits.
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Deger, N.S., Petri, N. & Van den Bleeken, D. Supersymmetric dyonic strings in 6-dimensions from 3-dimensions. J. High Energ. Phys. 2019, 168 (2019). https://doi.org/10.1007/JHEP04(2019)168
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DOI: https://doi.org/10.1007/JHEP04(2019)168