Black hole entropy, special geometry and strings
By T. Mohaupt. 2000
299 citations recorded by the source corpus.
We review work done over the last years on the macroscopic and microscopic entropy of supersymmetric black holes in fourdimensional = 2 supergravity and in = 2 compactifications of string theory and M-theory. Particular emphasis is put on the crucial role of higher curvature terms and of modifications of the area law in obtaining agreement between the macroscopic entropy, which is a geometric property of black hole solutions and the microscopic entropy, which is computed by state counting in Calabi-Yau compactifications of string or M-theory. We also discuss invariance properties of the entropy under stringy T-duality and S-duality transformations in = 2,4 compactifications in presence of higher curvature terms. In order to make the paper self-contained we review the laws of black hole mechanics in higher derivative gravity, the definition of entropy as a surface charge, the superconformal off-shell description of = 2 supergravity, special geometry, and = 2 compactifications of heterotic and type II string theory and of M-theory.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/102ee45d69440e2c8a93f431a485e7094a5b94be
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Citations in the corpus
- Lectures on Black Holes and the AdS3/CFT2 Correspondence (2006, unknown): “here. An incomplete list is [12,13, 14 ,15,16,17,18].”
- Exact and Asymptotic Degeneracies of Small Black Holes (2005, methodology): “W 2 is the square of the Weyl multiplet described in [9].”
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- Wald's entropy is equal to a quarter of the horizon area in units of the effective gravitational coupling (2007, unknown): “Beer-Sheva 84105, Israel E-mail: ramyb@bgu.ac.il Dan Gorbonos”
- Black hole attractors and the topological string (2004, methodology): “ntropy5 formula (2.5) are derived from the F-term corrections to the supergravity action using Wald’s method [22]. (For a comprehensive review of the results of these papers and related subjects, see [23].) All other corrections to the action involve hypermultiplets. Hypermultiplet vevs are not fixed”
- Lectures on black holes, topological strings and quantum attractors (2006, background): “Useful reviews of the attractor mechanism include [33, 34, 35].”
- Logarithmic corrections to extremal black hole entropy from quantum entropy function (2010, background): “Early studies on the macroscopic entropy of these black holes can be found in [43–48]).”
- Quantum black holes, localization, and the topological string (2010, methodology): “ stage and fix all the notations for the quantum calculation which we discuss in §5. It will therefore be concise; a detailed account of the off-shell formalism can be found, for example, in the review [45]. We use the conformal supergravity approach to N = 2 off-shell supergravity in four dimensions d”
- Split states, entropy enigmas, holes and halos (2007, background): “Further significant progress on the microscopic accounting of entropy only came after the supergravity prediction for the entropy, based on the attractor mechanism [4, 5], was refined in [6, 7, 8, 9], leading in turn to the formulation of a famous conjecture by Ooguri, Strominger and Vafa (OSV) [10]”
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- Black hole entropy in the presence of Chern–Simons terms (2006, methodology): “plication of Wald’s formula (5) to the superstring effective action agreed precisely with the microscopic entropy calculated using the description as branes. Interested readers can consult the review [6] for details. A subtlety is that the compactification of superstring theory down to odd dimensiona”