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.

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

References in corpus (37)

• String Theory Dynamics In Various Dimensions
• Unity of Superstring Dualities
• All supersymmetric solutions of minimal supergravity in five dimensions
• Duality in the Type--II Superstring Effective Action
• Macroscopic Entropy of $N=2$ Extremal Black Holes
• Black Holes and Critical Points in Moduli Space
• N=2 Supergravity and N=2 Super Yang-Mills Theory on General Scalar Manifolds: Symplectic Covariance, Gaugings and the Momentum Map
• General supersymmetric AdS5 black holes
• An Sl(2,Z) Multiplet of Nine-Dimensional Type II Supergravity Theories
• All supersymmetric solutions of minimal supergravity in six dimensions
• N=2 supergravity in five dimensions revisited
• All supersymmetric solutions of minimal gauged supergravity in five dimensions
• Strong/Weak Coupling Duality from the Dual String
• New Couplings of Six-Dimensional Supergravity
• Four-Dimensional String/String Duality
• All Supersymmetric Solutions of N=2, D=4 Gauged Supergravity
• Supersymmetry and Dual String Solitons
• The general form of supersymmetric solutions of N=(1,0) U(1) and SU(2) gauged supergravities in six dimensions
• The supersymmetric configurations of N=2, d=4 supergravity coupled to vector supermultiplets
• Heterotic phase transitions and singularities of the gauge dyonic string
• AdS_3 x S^3 (Un)twisted and Squashed, and an O(2,2;Z) Multiplet of Dyonic Strings
• All timelike supersymmetric solutions of N=2, D=4 gauged supergravity coupled to abelian vector multiplets
• Characterization of all the supersymmetric solutions of gauged N=1,d=5 supergravity
• General Supersymmetric Solutions of Five-Dimensional Supergravity
• All the supersymmetric solutions of N=1,d=5 ungauged supergravity
• Supersymmetric solutions of N=2 d=4 sugra: the whole ungauged shebang
• N=2 Einstein-Yang-Mills's BPS solutions
• 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
• Gauge Dyonic Strings and Their Global Limit
• A non-Abelian Black Ring

Cited by in corpus (10)

• A systematic construction of microstate geometries with low angular momentum
• One Thousand and One Bubbles
• Dyonic black holes at arbitrary locations
• A gravitating Yang-Mills instanton
• Non-Abelian black holes in string theory
• 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