BPS Solutions of Six-Dimensional (1,0) Supergravity Coupled to Tensor Multiplets

Abstract

We derive a general local form for supersymmetric solutions of six-dimensional (1,0) supergravity coupled to an arbitrary number of tensor multiplets. We consider some special cases in which the resulting equations can be solved explicitly. In particular we derive black string solutions and calculate their entropy. Upon reducing to five dimensions they yield spinning black hole solutions. We also discuss BPS pp-waves and black string solutions with traveling waves. Lastly, as an application, we study the attractor mechanism in this theory.

arXiv comment50 pages, no figures; v2: references added, updated discussion on the action of the theory; v3: updated references, minor typos corrected

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• AdS${}_2$ Holography: Mind the Cap
• Superstrata
• 6D attractors and black hole microstates
• Classification, geometry and applications of supersymmetric backgrounds
• Twisted $\mathcal{N}=1$ SCFTs and their AdS${}_3$ duals
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• Supersymmetric Dyonic Strings in 6-Dimensions from 3-Dimensions
• The structure of all the supersymmetric solutions of ungauged N = (1,0),d=6 supergravity
• On the supersymmetric solutions of the Heterotic Superstring effective action
• Contact metric three manifolds and Lorentzian geometry with torsion in six-dimensional supergravity
• Rotating Strings in Six-Dimensional Higher-Derivative Supergravity
• Real Killing Spinors in Neutral Signature
• From Static to Cosmological Solutions of N=2 Supergravity
• Generalised Garfinkle-Vachaspati Transform With Dilaton