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Orbits and Attractors for N=2 Maxwell-Einstein Supergravity Theories in Five Dimensions
High Energy Physics - Theory · Submitted 12 Jun 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Motivated by these results and some recent work on non-supersymmetric attractors we show that attractor equations in N=2 MESGTs in d=5 do indeed possess the distinct families of solutions with finite Bekenstein-Hawking entropy.
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BPS and non-BPS orbits for extremal black-holes in N=2 Maxwell-Einstein supergravity theories (MESGT) in five dimensions were classified long ago by the present authors for the case of symmetric scalar manifolds. Motivated by these results and some recent work on non-supersymmetric attractors we show that attractor equations in N=2 MESGTs in d=5 do indeed possess the distinct families of solutions with finite Bekenstein-Hawking entropy. The new non-BPS solutions have non-vanishing central charge and matter charge which is invariant under the maximal compact subgroup of the stabilizer of the non-BPS orbit. Our analysis covers all symmetric space theories G/H such that G is a symmetry of the action. These theories are in one-to-one correspondence with (Euclidean) Jordan algebras of degree three. In the particular case of N=2 MESGT with scalar manifold SU*(6)/USp(6) a duality of the two solutions with regard to N=2 and N=6 supergravity is also considered.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | BPS and non-BPS orbits for extremal black-holes in N=2 Maxwell-Einstein supergravity theories (MESGT) in five dimensions were classified long ago by the present authors for the case of symmetric scalar manifolds. | background 1.00 | 0.78 | 0.04 | asserted 1.00 |
| s1 | Motivated by these results and some recent work on non-supersymmetric attractors we show that attractor equations in N=2 MESGTs in d=5 do indeed possess the distinct families of solutions with finite Bekenstein-Hawking entropy. | result 0.64 | 0.91 | 0.78 | asserted 1.00 |
| s2 | The new non-BPS solutions have non-vanishing central charge and matter charge which is invariant under the maximal compact subgroup of the stabilizer of the non-BPS orbit. | result 1.00 | 0.86 | 0.21 | asserted 1.00 |
| s3 | Our analysis covers all symmetric space theories G/H such that G is a symmetry of the action. | contribution 0.79 | 0.71 | 0.07 | asserted 1.00 |
| s4 | These theories are in one-to-one correspondence with (Euclidean) Jordan algebras of degree three. | background 0.80 | 0.22 | 0.04 | asserted 1.00 |
| s5 | In the particular case of N=2 MESGT with scalar manifold SU*(6)/USp(6) a duality of the two solutions with regard to N=2 and N=6 supergravity is also considered. | contribution 0.68 | 0.81 | 0.05 | asserted 0.90 |
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Original abstract
BPS and non-BPS orbits for extremal black-holes in N=2 Maxwell-Einstein supergravity theories (MESGT) in five dimensions were classified long ago by the present authors for the case of symmetric scalar manifolds. Motivated by these results and some recent work on non-supersymmetric attractors we show that attractor equations in N=2 MESGTs in d=5 do indeed possess the distinct families of solutions with finite Bekenstein-Hawking entropy. The new non-BPS solutions have non-vanishing central charge and matter charge which is invariant under the maximal compact subgroup of the stabilizer of the non-BPS orbit. Our analysis covers all symmetric space theories G/H such that G is a symmetry of the action. These theories are in one-to-one correspondence with (Euclidean) Jordan algebras of degree three. In the particular case of N=2 MESGT with scalar manifold SU*(6)/USp(6) a duality of the two solutions with regard to N=2 and N=6 supergravity is also considered.
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23 arXiv papers cite this in 33 sentences
Papers citing it · 24 sentences without a confident label
Compares with it 1 paper
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We can compare the eigenvalues of the 3x3 part of the fermion mass matrix with the eigenvalues of the 3x3 octonionic Hermitian matrix studied in [ref] which defines the supersymmetric black hole entropy in 5d.
M-theory, Black Holes and Cosmology · Properties of the mass matrix in octonion cosmological models · 0.99
Cites it as background 8 papers
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The $𝒩=2$, $D=5$ exceptional magic supergravity, in particular, has a Jordan algebra over the octonions as its charge space with U-duality group $E_6(-26)$ [ref] .
U-Duality and the Leech Lattice · Introduction · 0.81
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In the classical limit the answer for a large class of theories has been known for some time now [ref] .
Observations on Integral and Continuous U-duality Orbits in N=8 Supergravity · Introduction · 0.82
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Freudenthal in `Oktaven, Ausnahmegruppen und Oktavengeometrie', Mathematisch Instituut der Rijksuniversiteit te Utrecht, 1951.] eigenvalue problem [ref] .
M-theory, Black Holes and Cosmology · Introduction · 0.86
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