Black hole attractors and the topological string

By Hirosi Ooguri, Andrew Strominger, C. Vafa. 2004

648 citations recorded by the source corpus.

A simple relationship of the form ZBH = |Ztop|2 is conjectured, where ZBH is a supersymmetric partition function for a four-dimensional BPS black hole in a Calabi-Yau compactification of Type II superstring theory and Ztop is a second-quantized topological string partition function evaluated at the attractor point in moduli space associated to the black hole charges. Evidence for the conjecture in a perturbation expansion about large graviphoton charge is given. The microcanonical ensemble of BPS black holes can be viewed as the Wigner function associated to the wave function defined by the topological string partition function.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e2948914daf7e58adf315d94021d15e4a28cfbca

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Ashoke Sen
2. B. Pioline
3. Frederik Denef
4. N. Warner
5. Per Kraus
6. I. Bena
7. S. Trivedi
8. A. Dabholkar

In Nuclear and High Energy Physics

1. Ashoke Sen
2. C. Vafa
3. Marcos Mariño
4. Sergei Gukov
5. B. Pioline
6. E. Witten
7. D. Gaiotto
8. F. Benini

In Statistical and Nonlinear Physics

1. Ashoke Sen
2. Marcos Mariño
3. B. Pioline
4. C. Vafa
5. A. Dabholkar
6. N. Warner
7. Yuji Tachikawa
8. I. Bena

Citations in the corpus

• The statistical mechanics of near-BPS black holes (2020, background): “The BPS nature of such gravitational solutions allows one to identify them with corresponding string theory constructions, for example [43–46].”
• Open string amplitudes and large order behavior in topological string theory (2006, background): “Some proposals have emerged based on holographic descriptions related to black hole physics [63], and in some simple cases these descriptions have been worked out in detail [6], but much remains to be done in order to understand these fundamental issues.”
• Quantum black holes, localization, and the topological string (2010, background): “ave not analyzed this in detail but if true, it would imply that W0(q,p) = Z M Q e−πφIq I |Z top(φ,p)|2 Zdet[dC]µ . (1.7) The term |Ztop|2 is precisely of the form envisaged by Ooguri-Strominger-Vafa [21]! It should be emphasized though that in this derivation, the topological string partition funct”
• 5D black rings and 4D black holes (2005, background): “This suggested a direct relation between the microstates of 4D and 5D black holes, and (invoking [3]) motivated a conjecture of the form”
• Electric/magnetic deformations of S3 and AdS3, and geometric cosets (2004, neutral): “an interesting candidate for AdS/cftcorrespondence [42]. In the present case the dual theory should correspond to some superconformal quantum mechanics [5, 43, 44, 45]. According to some recent works [46, 47], these string theory black holes are deeply related to topological strings on the Calabi-Ya”
• Flux compactifications in string theory: A Comprehensive review (2005, background): “Another undiscussed area is that of topological strings [221], in particular the attractor mechanism [222] and the Ooguri-Strominger-Vafa conjecture [223].”
• Precision Counting of Small Black Holes (2005, methodology): “rm of the conjecture asserts that this equation holds at finite electric and magnetic charges, provided some yet unknown non-perturbative contributions to the topological string amplitude are included [14]. A weaker form states that this equality hold to all orders in an asymptotic expansion in the i”
• A-polynomial, B-model, and quantization (2011, background): “23) have been explicitly constructed in [18, 19, 20, 21, 22, 23, 24].”
• Refined, Motivic, and Quantum (2009, background): “The space HBPS encodes much interesting information about the Calabi-Yau space X as well as about the physics of the four-dimensional N = 2 theory, in particular providing connections to black hole physics and topological strings [1].”
• Liouville Correlation Functions from Four-Dimensional Gauge Theories (2009, background): “This should be related to the OSV conjecture [17].”
• Black Holes, q-Deformed 2d Yang-Mills, and Non-perturbative Topological Strings (2004, background): “In fact the proposal in [1] goes further and uses the above relation as defining what one means by the non-perturbative topological string amplitude, including O(e ) corrections.”
• Split states, entropy enigmas, holes and halos (2007, background): “10) and identifying Γ = (p, q), the attractor equations can alternatively be written as [10]”
• Lectures on black holes, topological strings and quantum attractors (2006, methodology): “3 The Ooguri-Strominger-Vafa Conjecture As noticed in [90], using the homogeneity relation Y GI+W∂WF = 2F , it is possible to perform the same manipulation as in (3.”
• Black holes, black rings and their microstates (2007, background): “Other groups focus on small black holes(4) and study their properties using the attractor mechanism [39], or relating them to topological strings via the OSV conjecture [40].”
• Two Dimensional Yang-Mills, Black Holes and Topological Strings (2004, methodology): “ar X iv :h ep -t h/ 04 06 05 8v 2 7 J ul 2 00 4 hep-th/0406058 HUTP-04/A026 Two Dimensional Yang-Mills, Black Holes and Topological Strings Cumrun Vafa Jefferson Physical Laboratory, Harvard University, Cambridge, MA 02138, USA We show that topological strings on a class of non-compact Calabi-Yau…”