Black hole entropy function, attractors and precision counting of microstates
By Ashoke Sen. 2007
533 citations recorded by the source corpus.
In these lecture notes we describe recent progress in our understanding of attractor mechanism and entropy of extremal black holes based on the entropy function formalism. We also describe precise computation of the microscopic degeneracy of a class of quarter BPS dyons in $${\mathcal{N}=4}$$ supersymmetric string theories, and compare the statistical entropy of these dyons, expanded in inverse powers of electric and magnetic charges, with a similar expansion of the corresponding black hole entropy. This comparison is extended to include the contribution to the entropy from multi-centred black holes as well.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/c74724d7ae1ace9281971838b10a158ecf6396ef
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
In Nuclear and High Energy Physics
Citations in the corpus
- Indices for superconformal field theories in 3, 5 and 6 dimensions (2008, background): “e theory contains a continuum [6, 11] or is singular for some parameters. Lately, this issue has attracted interest in the context of 2 dimensional conformal field theories and we direct the reader to [12, 13, 14] for some recent discussions. 2The corresponding results are already known in d = 4 [7].”
- Near Extremal Kerr Entropy from AdS(2) Quantum Gravity (2009, unknown): “1 acastro@physics.mcgill.ca 2 larsenf@umich.edu”
- Universal spectrum of 2d conformal field theory in the large c limit (2014, methodology): “of the more recent successful precision tests of black hole microstate counting in string theory summarized for example in [30, 31].”
- Logarithmic corrections to rotating extremal black hole entropy in four and five dimensions (2011, background): “19) of [97], and k has been defined in (5.”
- Holographic entanglement entropy: an overview (2009, background): “Also the the appearance of the AdS2 spacetime plays an important role in the recent investigations of the attractor mechanism (see [147] and references therein), and more recently, in a new duality called the extremal black hole/CFT correspondence [148, 149].”
- 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”
- The fuzzball proposal for black holes (2008, background): “Many subsequent works have been devoted to refining the computation of the black hole entropy; in particular, in recent times, substantial effort has gone into reproducing subleading terms in the entropy on both sides of the correspondence, see the review [10].”
- CFT Duals for Extreme Black Holes (2008, background): “While supersymmetry seemed to play a crucial role in that discussion, recent investigations of the attractor mechanism (see [2] and references therein) indicate that really only extremality is needed.”
- Logarithmic corrections to $${\mathcal{N} = 2}$$ black hole entropy: an infrared window into the microstates (2011, unknown): “[23]) ds(2) ≡ ḡμνdxdx = a(2)(dη(2) + sinh(2) ηdθ(2)) + a(2)(dψ(2) + sin(2) ψdφ(2)), F̄mn = i a−1 εmn .”
- A classification of near-horizon geometries of extremal vacuum black holes (2008, background): “Curiously, recent work on the attractor mechanism (see [18] for a comprehensive review) has revealed that in fact it may be extremality rather than supersymmetry which is responsible for the success of the entropy counting of black holes in flat space [19,20].”
- Logarithmic corrections to extremal black hole entropy from quantum entropy function (2010, methodology): “Then in an appropriate normalization convention the near horizon geometry is given by [29]:”
- Arithmetic of quantum entropy function (2009, background): “For example the sign of the helicity trace index −B6 for quarter BPS states in a class of N = 4 supersymmetric string theories was calculated in [37] and was found to be positive, at least in the limit when the charges are large.”