Supersymmetric dyonic strings in 6-dimensions from 3-dimensions

Abstract

It was shown in arXiv:1410.7168 that compactifying D = 6, N=10\[ \mathcal{N}=\left(1,0\right) \] ungauged supergravity coupled to a single tensor multiplet on S³ one gets a particular D = 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 = 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.