# Supersymmetric Dyonic Strings in 6-Dimensions from 3-Dimensions

## TL;DR

This paper constructs supersymmetric black string solutions in a 3D supergravity model derived from 6D supergravity, revealing new dyonic string configurations with specific magnetic and electric string distributions.

## Contribution

It introduces two novel supersymmetric black string solutions in 3D supergravity and uplifts them to 6D, uncovering new dyonic string configurations with unique magnetic and electric string arrangements.

## Key findings

- One solution corresponds to a known dyonic string in 6D.
- Another solution features magnetic strings on a circle and electric strings inside.
- Both solutions exhibit AdS3 x S3 limits.

## Abstract

It was shown in arXiv:1410.7168 that compactifying $D=6$, $\mathcal{N}=(1,0)$ ungauged supergravity coupled to a single tensor multiplet on S$^3$ 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 $\mathrm{AdS}_3 \times$ S$^3$ limits.