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Black Hole Attractors and Pure Spinors
High Energy Physics - Theory · Submitted 15 Feb 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We construct black hole attractor solutions for a wide class of N=2 compactifications.
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The abstract, sentence by sentence
We construct black hole attractor solutions for a wide class of N=2 compactifications. The analysis is carried out in ten dimensions and makes crucial use of pure spinor techniques. This formalism can accommodate non-Kaehler manifolds as well as compactifications with flux, in addition to the usual Calabi-Yau case. At the attractor point, the charges fix the moduli according to sum_k f_k = Im(C Phi), where Phi is a pure spinor of odd (even) chirality in IIB (A). For IIB on a Calabi-Yau, Phi=Omega and the equation reduces to the usual one. Methods in generalized complex geometry can be used to study solutions to the attractor equation.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We construct black hole attractor solutions for a wide class of N=2 compactifications. | contribution 1.00 | 0.95 | 0.29 | asserted 1.00 |
| s1 | The analysis is carried out in ten dimensions and makes crucial use of pure spinor techniques. | method 0.98 | 0.88 | 0.06 | asserted 1.00 |
| s2 | This formalism can accommodate non-Kaehler manifolds as well as compactifications with flux, in addition to the usual Calabi-Yau case. | contribution 0.73 | 0.48 | 0.10 | asserted 0.53 |
| s3 | At the attractor point, the charges fix the moduli according to sum_k f_k = Im(C Phi), where Phi is a pure spinor of odd (even) chirality in IIB (A). | result 0.99 | 0.83 | 0.47 | asserted 1.00 |
| s4 | For IIB on a Calabi-Yau, Phi=Omega and the equation reduces to the usual one. | result 0.53 | 0.63 | 0.07 | asserted 1.00 |
| s5 | Methods in generalized complex geometry can be used to study solutions to the attractor equation. | method 0.68 | 0.18 | 0.07 | hedged possibility 0.84 |
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Original abstract
We construct black hole attractor solutions for a wide class of N=2 compactifications. The analysis is carried out in ten dimensions and makes crucial use of pure spinor techniques. This formalism can accommodate non-Kaehler manifolds as well as compactifications with flux, in addition to the usual Calabi-Yau case. At the attractor point, the charges fix the moduli according to sum_k f_k = Im(C Phi), where Phi is a pure spinor of odd (even) chirality in IIB (A). For IIB on a Calabi-Yau, Phi=Omega and the equation reduces to the usual one. Methods in generalized complex geometry can be used to study solutions to the attractor equation.
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References
How the literature uses it
5 arXiv papers cite this in 6 sentences
Papers citing it · 3 sentences without a confident label
Cites it as background 2 papers
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Originally the attractor mechanism was developed in the analysis of the entropy of extremal (non-)BPS black holes in type II theories [ref] .
AdS Vacua, Attractor Mechanism and Generalized Geometries · Introduction · 0.90
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This was considered in [ref] , with some Ansatz along the way.
Generalized structures of ten-dimensional supersymmetric solutions · Introduction · 0.93
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