RECORD
Extremal non-BPS black holes and entropy extremization
High Energy Physics - Theory · Submitted 25 Jul 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim For the non-BPS solution the region of attractivity and the maximum of the entropy do not coincide with the conifold point.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
At the horizon, a static extremal black hole solution in N=2 supergravity in four dimensions is determined by a set of so-called attractor equations which, in the absence of higher-curvature interactions, can be derived as extremization conditions for the black hole potential or, equivalently, for the entropy function. We contrast both methods by explicitly solving the attractor equations for a one-modulus prepotential associated with the conifold. We find that near the conifold point, the non-supersymmetric solution has a substantially different behavior than the supersymmetric solution. We analyze the stability of the solutions and the extrema of the resulting entropy as a function of the modulus. For the non-BPS solution the region of attractivity and the maximum of the entropy do not coincide with the conifold point.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | At the horizon, a static extremal black hole solution in N=2 supergravity in four dimensions is determined by a set of so-called attractor equations which, in the absence of higher-curvature interactions, can be derived as extremization conditions for the black hole potential or, equivalently, for the entropy function. | background 1.00 | 0.08 | 0.05 | asserted 1.00 |
| s1 | We contrast both methods by explicitly solving the attractor equations for a one-modulus prepotential associated with the conifold. | method 0.65 | 0.95 | 0.05 | asserted 0.97 |
| s2 | We find that near the conifold point, the non-supersymmetric solution has a substantially different behavior than the supersymmetric solution. | result 1.00 | 0.96 | 0.28 | asserted 1.00 |
| s3 | We analyze the stability of the solutions and the extrema of the resulting entropy as a function of the modulus. | contribution 0.60 | 0.93 | 0.07 | asserted 0.66 |
| s4 | For the non-BPS solution the region of attractivity and the maximum of the entropy do not coincide with the conifold point. | result 1.00 | 0.92 | 0.58 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
At the horizon, a static extremal black hole solution in N=2 supergravity in four dimensions is determined by a set of so-called attractor equations which, in the absence of higher-curvature interactions, can be derived as extremization conditions for the black hole potential or, equivalently, for the entropy function. We contrast both methods by explicitly solving the attractor equations for a one-modulus prepotential associated with the conifold. We find that near the conifold point, the non-supersymmetric solution has a substantially different behavior than the supersymmetric solution. We analyze the stability of the solutions and the extrema of the resulting entropy as a function of the modulus. For the non-BPS solution the region of attractivity and the maximum of the entropy do not coincide with the conifold point.
Human review
References
How the literature uses it
6 arXiv papers cite this in 6 sentences
Papers citing it · 3 sentences without a confident label
Cites it as background 3 papers
-
In [ref] the entropy functional of non-supersymmetric, charged black holes around the conifold point was studied.
String Landscape and the Standard Model of Particle Physics · Black hole/flux correspondence and probability wave function · 0.90
-
Subsequent investigations include [ref] .
On The Stability of Non-Supersymmetric Attractors in String Theory · Introduction and Overview · 0.98
-
Various other recent references on entropy function and attractor mechanism can be found in [ref] .
Black Hole Entropy Function, Attractors and Precision Counting of Microstates · The full partition function · 1.00
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.