Supersymmetric Dyonic Strings in 6-Dimensions from 3-Dimensions

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.

arXiv comment20 pages, 1 appendix, 1 figure; v2: minor corrections, added references; v3: added comments and references, published version; v5: minor correction to eqn. (2.8)

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• New Superstrata from Three-Dimensional Supergravity
• Supersymmetry and Superstrata in Three Dimensions
• Triality and the consistent reductions on ${\mathrm{AdS}}_3\times S^3$
• Holographic RG flows and boundary conditions in a 3D gauged supergravity
• Attractor Mechanism and Non-Renormalization Theorem in 6D (1,0) Supergravity
• Waves and strings in an interacting conformal chiral 2-form theory in six dimensions
• New boundary conditions in Einstein-scalar gravity in three dimensions