Abstract
We show that, when compactified on a circle, \( \mathcal{N} \) = (2, 0), d = 6 supergravity coupled to 1 tensor multiplet and n V vector multiplets is dual to \( \mathcal{N} \) = (2, 0), d = 6 supergravity coupled to just n T = n V + 1 tensor multiplets and no vector multiplets. Both theories reduce to the same models of \( \mathcal{N} \) = 2, d = 5 supergravity coupled to n V 5 = n V + 2 vector fields. We derive Buscher rules that relate solutions of these theories (and of the theory that one obtains by dualizing the 3-form field strength) admitting an isometry. Since the relations between the fields of \( \mathcal{N} \) = 2, d = 5 supergravity and those of the 6-dimensional theories are the same with or without gaugings, we construct supersymmetric non-Abelian solutions of the 6-dimensional gauged theories by uplifting the recently found 5-dimensional supersymmetric non-Abelian black-hole solutions. The solutions describe the usual superpositions of strings and waves supplemented by a BPST instanton in the transverse directions, similar to the gauge dyonic string of Duff, Lü and Pope. One of the solutions obtained interpolates smoothly between two AdS3× S3 geometries with different radii.
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Cano, P.A., Ortín, T. & Santoli, C. Non-Abelian black string solutions of \( \mathcal{N} \) = (2,0), d = 6 supergravity. J. High Energ. Phys. 2016, 112 (2016). https://doi.org/10.1007/JHEP12(2016)112
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DOI: https://doi.org/10.1007/JHEP12(2016)112