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Special Properties of Five Dimensional BPS Rotating Black Holes
High Energy Physics - Theory · Submitted 8 Mar 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Therefore, the `repulson' behaviour previously found is universal for non accelerated observers; 3) The solutions are shown to have a non-standard gyromagnetic ratio of $g=3$.
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Supersymmetric, rotating, asymptotically flat black holes with a regular horizon are rare configurations in String Theory. One example is known in five spacetime dimensions, within the toroidal compactification of type IIB string theory. Such special solution is allowed by the existence of a Chern-Simons coupling in the Supergravity theory and by the possibility of imposing a self duality condition on the `rotation 2-form'. We explore three peculiar features of such black holes: 1) Oxidising to D=10 the five dimensional configuration may be interpreted as a system of $D1-D5$ branes with a Brinkmann wave propagating along their worldvolume. Unlike its five dimensional Kaluza-Klein compactification, the universal covering space of this manifold has no causality violations. In other words, causal anomalies can be solved in higher dimensions. From the dual SCFT viewpoint, the causality bound for the compactified spacetime arises as the unitarity bound; 2) The vanishing of the scattering cross section for uncharged scalars and sufficiently high angular momentum of the background is shown still to hold at the level of charged interactions. The same is verified when a non-minimal coupling to the geometry is used. Therefore, the `repulson' behaviour previously found is universal for non accelerated observers; 3) The solutions are shown to have a non-standard gyromagnetic ratio of $g=3$. In contrast, the superpartners of a static, BPS, five dimensional black hole have $g=1$. At the semi-classical level, we find that a Dirac fermion propagating in the rotating hole background has $g=2\pm1$, depending on the spinor direction of the fermion being parallel to Killing or `anti-Killing' spinors.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Supersymmetric, rotating, asymptotically flat black holes with a regular horizon are rare configurations in String Theory. | background 1.00 | 0.06 | 0.04 | asserted 1.00 |
| s1 | One example is known in five spacetime dimensions, within the toroidal compactification of type IIB string theory. | background 0.99 | 0.06 | 0.03 | asserted 1.00 |
| s2 | Such special solution is allowed by the existence of a Chern-Simons coupling in the Supergravity theory and by the possibility of imposing a self duality condition on the `rotation 2-form'. | background 0.99 | 0.08 | 0.06 | asserted 0.92 |
| s3 | We explore three peculiar features of such black holes: 1) Oxidising to D=10 the five dimensional configuration may be interpreted as a system of $D1-D5$ branes with a Brinkmann wave propagating along their worldvolume. | contribution 0.72 | 0.74 | 0.13 | hedged possibility 0.99 |
| s4 | Unlike its five dimensional Kaluza-Klein compactification, the universal covering space of this manifold has no causality violations. | result 0.88 | 0.48 | 0.13 | asserted 1.00 |
| s5 | In other words, causal anomalies can be solved in higher dimensions. | interpretation 0.97 | 0.32 | 0.15 | asserted 0.92 |
| s6 | From the dual SCFT viewpoint, the causality bound for the compactified spacetime arises as the unitarity bound; 2) The vanishing of the scattering cross section for uncharged scalars and sufficiently high angular momentum of the background is shown still to hold at the level of charged interactions. | result 0.89 | 0.78 | 0.13 | asserted 1.00 |
| s7 | The same is verified when a non-minimal coupling to the geometry is used. | result 0.93 | 0.81 | 0.06 | asserted 1.00 |
| s8 | Therefore, the `repulson' behaviour previously found is universal for non accelerated observers; 3) The solutions are shown to have a non-standard gyromagnetic ratio of $g=3$. | result 0.99 | 0.88 | 0.17 | asserted 1.00 |
| s9 | In contrast, the superpartners of a static, BPS, five dimensional black hole have $g=1$. | result 0.87 | 0.30 | 0.08 | asserted 1.00 |
| s10 | At the semi-classical level, we find that a Dirac fermion propagating in the rotating hole background has $g=2\pm1$, depending on the spinor direction of the fermion being parallel to Killing or `anti-Killing' spinors. | result 1.00 | 0.95 | 0.12 | asserted 1.00 |
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Original abstract
Supersymmetric, rotating, asymptotically flat black holes with a regular horizon are rare configurations in String Theory. One example is known in five spacetime dimensions, within the toroidal compactification of type IIB string theory. Such special solution is allowed by the existence of a Chern-Simons coupling in the Supergravity theory and by the possibility of imposing a self duality condition on the `rotation 2-form'. We explore three peculiar features of such black holes: 1) Oxidising to D=10 the five dimensional configuration may be interpreted as a system of $D1-D5$ branes with a Brinkmann wave propagating along their worldvolume. Unlike its five dimensional Kaluza-Klein compactification, the universal covering space of this manifold has no causality violations. In other words, causal anomalies can be solved in higher dimensions. From the dual SCFT viewpoint, the causality bound for the compactified spacetime arises as the unitarity bound; 2) The vanishing of the scattering cross section for uncharged scalars and sufficiently high angular momentum of the background is shown still to hold at the level of charged interactions. The same is verified when a non-minimal coupling to the geometry is used. Therefore, the `repulson' behaviour previously found is universal for non accelerated observers; 3) The solutions are shown to have a non-standard gyromagnetic ratio of $g=3$. In contrast, the superpartners of a static, BPS, five dimensional black hole have $g=1$. At the semi-classical level, we find that a Dirac fermion propagating in the rotating hole background has $g=2\pm1$, depending on the spinor direction of the fermion being parallel to Killing or `anti-Killing' spinors.
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References
How the literature uses it
10 arXiv papers cite this in 15 sentences
Papers citing it · 12 sentences without a confident label
Cites it as background 3 papers
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In recent years, attention has been drawn to various novel orbital structures in non-Kerr backgrounds, such as rotating boson stars [ref] , wormholes [ref] , hairy black holes [ref] , and higher-dimensional black holes [ref] .
A new type of multi-branch periodic orbits in dyonic black holes · Introduction · 0.98
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For example, the first successful statistical counting of BH entropy was performed for an extremal static Reissner-Nordström (RN) BH in $D=5$ spacetime dimensions [ref] , then generalized to its spinning counterpart [ref] .
Spinning extremal dyonic black holes in $\gamma=1$ Einstein-Maxwell-dilaton theory · Introduction · 0.91
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Applications range from situations involving strong and weak gravitational effects around black holes, such as ring down in a binary system of black holes [ref] , shadows [ref] , and to other interesting phenomena in four and higher dimensions, with potential observational signatures [ref] .
Static spheres and Aschenbach effect for black holes in massive gravity · Introduction · 0.99
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