Non-Abelian black string solutions of N=(2,0),d=6 supergravity

Abstract

We show that, when compactified on a circle, N=(2,0),d=6 supergravity coupled to 1 tensor multiplet and nV vector multiplets is dual to N=(2,0),d=6 supergravity coupled to just nT=nV+1 tensor multiplets and no vector multiplets. Both theories reduce to the same models of N=2,d=5 supergravity coupled to nV5=nV+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 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. One of the solutions obtained interpolates smoothly between two AdS3xS3 geometries with different radii.

A few typos corrected in text and formulae. Version to be published in JHEP

References in corpus (12)

• The supersymmetric configurations of N=2, d=4 supergravity coupled to vector supermultiplets
• Characterization of all the supersymmetric solutions of gauged N=1,d=5 supergravity
• Supersymmetric solutions of N=2 d=4 sugra: the whole ungauged shebang
• Supersymmetric solutions to gauged N=2 d=4 sugra: the full timelike shebang
• Supersymmetric coloured/hairy black holes
• Supersymmetric solutions of gauged five-dimensional supergravity with general matter couplings
• N=2 Einstein-Yang-Mills' static two-center solutions
• Tensor Hierarchies of 5- and 6-Dimensional Field Theories
• Non-Abelian, supersymmetric black holes and strings in 5 dimensions
• N=2 Super-EYM coloured black holes from defective Lax matrices
• Resolution of SU(2) monopole singularities by oxidation
• A non-Abelian Black Ring

Cited by in corpus (10)

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• The structure of all the supersymmetric solutions of ungauged N = (1,0),d=6 supergravity
• Linearizing the BPS Equations with Vector and Tensor Multiplets
• Supersymmetric solutions of SU(2)-Fayet-Iliopoulos-gauged N=2,d=4 supergravity
• Non-perturbative decay of Non-Abelian hair
• Non-Abelian Rotating Black Holes in 4- and 5-Dimensional Gauged Supergravity