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d-Geometries Revisited
High Energy Physics - Theory · Submitted 22 Oct 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim They generalize to N>2 extended supersymmetries the d-geometries with cubic prepotentials, familiar from N=2 special K\"ahler geometry.
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The abstract, sentence by sentence
We analyze some properties of the four dimensional supergravity theories which originate from five dimensions upon reduction. They generalize to N>2 extended supersymmetries the d-geometries with cubic prepotentials, familiar from N=2 special K\"ahler geometry. We emphasize the role of a suitable parametrization of the scalar fields and the corresponding triangular symplectic basis. We also consider applications to the first order flow equations for non-BPS extremal black holes.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We analyze some properties of the four dimensional supergravity theories which originate from five dimensions upon reduction. | contribution 0.91 | 0.91 | 0.08 | asserted 0.97 |
| s1 | They generalize to N>2 extended supersymmetries the d-geometries with cubic prepotentials, familiar from N=2 special K\"ahler geometry. | result 0.65 | 0.61 | 0.47 | asserted 1.00 |
| s2 | We emphasize the role of a suitable parametrization of the scalar fields and the corresponding triangular symplectic basis. | method 0.65 | 0.64 | 0.11 | asserted 0.92 |
| s3 | We also consider applications to the first order flow equations for non-BPS extremal black holes. | contribution 0.98 | 0.82 | 0.09 | asserted 0.87 |
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The paper
Original abstract
We analyze some properties of the four dimensional supergravity theories which originate from five dimensions upon reduction. They generalize to N>2 extended supersymmetries the d-geometries with cubic prepotentials, familiar from N=2 special K\"ahler geometry. We emphasize the role of a suitable parametrization of the scalar fields and the corresponding triangular symplectic basis. We also consider applications to the first order flow equations for non-BPS extremal black holes.
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References
How the literature uses it
1 arXiv paper cite this in 2 sentences
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Cites as background 1 paper
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Although pure 4D $N=4$ supergravity cannot be obtained from five dimensions by Kaluza-Klein reduction, which would always give rise to the coupling to matter multiplets, we mention it here because of the recent related work of [ref] and as a simple instance of the splitting of scalar fields associated with ([ref]).
Conjecture on Hidden Superconformal Symmetry of N=4 Supergravity · A related case : $N=4$, $D=4$ pure Supergravity · 0.81
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