Microscopic black hole entropy in theories with higher derivatives

By Per Kraus, F. Larsen. 2005

283 citations recorded by the source corpus.

We discuss higher derivative corrections to black hole entropy in theories that allow a near horizon AdS3 × X geometry. In arbitrary theories with diffeomorphism in- variance we show how to obtain the spacetime central charge in a simple way. Black hole entropy then follows from the euclidean partition function, and we show that this gives agreement with Wald's formula. In string theory there are certain diffeomorphism anoma- lies that we exploit. We thereby reproduce some recent computations of corrected entropy formulas, and extend them to the nonextremal, nonsupersymmetric context. Examples include black holes in M-theory on K3 × T 2 , whose entropy reproduces that of the per- turbative heterotic string with both right and left movers excited and angular momentum included. Our anomaly based approach also sheds light on why exact results have been obtained in four dimensions while ignoring R 4 type corrections.

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

View Paper: https://www.semanticscholar.org/paper/56d63297c902690a3ee0916afcef3155af1ee6fb

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. Per Kraus
3. N. Warner
4. S. Trivedi
5. I. Bena
6. A. Dabholkar
7. Frederik Denef
8. Eric Perlmutter

In Nuclear and High Energy Physics

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

In Statistical and Nonlinear Physics

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

Citations in the corpus

• Lectures on black holes, topological strings and quantum attractors (2006, background): “The results below suggest that such contributions should cancel for BPS black holes: a beautiful proof has been given in [89], but assumes that the black hole can be lifted to 5 dimensions.”
• Massive 3D supergravity (2009, background): “, by following the original Brown– Henneaux argument [25]) a natural conjecture emerges from an application of a formula of [26], and of [27], who have demonstrated its applicability for generic (parity-preserving) higher curvature Lagrangians L3 with adS3 vacuum.”
• Logarithmic corrections to Schwarzschild and other non-extremal black hole entropy in different dimensions (2012, result): “…with the microcanonical entropy of a BTZ black hole of mass M and angular momentum J with the identification Now the Bekenstein-Hawking entropy of a BTZ black hole [64] carrying mass M and angular momentum J , is given by (see e.g. [65]) This is in perfect agreement with the leading terms in (5.7).”
• Massive Gravity (2014, background): “The entropy of the black hole is given by [368]”
• Black holes, black rings and their microstates (2007, background): “Reviews of this can be found in [60, 61], and a limited sample of work that is related to the exploration presented here can be found in [62, 63, 64, 65, 66, 145, 146, 147, 148 , 149].”
• Warped AdS3 black holes (2008, methodology): “There is the usual term stemming from the Einstein action and a term coming from the Chern-Simons part of the action [47, 48, 49].”
• Black holes in three dimensional higher spin gravity: a review (2012, background): “All such corrections can be absorbed into the central charge c, and taking this into account Cardy’s formula continues to be valid [83].”
• Rotating Attractors (2006, background): “These examples include non-supersymmetric theories, actions with higher derivative corrections, extremal black holes in higher dimensions etc.[4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39].”
• On the new massive gravity and AdS/CFT (2010, methodology): “The fact that the spacetime central charge in AdS3 could be extracted using a c-extremisation and its connection with the Wald formula was shown in [24].”
• Black hole microstates and attractor without supersymmetry (2006, methodology): “8) can be interpreted as the left- and rightmoving central charges of the two dimensional CFT living on the boundary of the AdS3[35, 34, 55].”
• Partition functions and elliptic genera from supergravity (2006, background): “This is a slight refinement of our earlier work [5].”
• The library of Babel: on the origin of gravitational thermodynamics (2005, background): “Can stringy corrections “cloak” the singular effective geometries describing our generic half-BPS states with a horizon, in a manner similar to [56]? Does the area of the horizon match the entropy of the associated microstates? 7.”
• Precision Counting of Small Black Holes (2005, background): “e helicity supertraces can be exponentially smaller than the zero3It was recently proposed that exponentially suppressed contributions should reflect multi-centered black hole configurations [46]. 4See [47] for some recent interesting results in this direction. 5This differs from the interpretation adv”
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence (2008, methodology): “2 We then argue that AdS2/CFT1 correspondence [25, 26, 27, 28] leads (1)Some of these corrections, which can be regarded as the correction to the central charge in the Cardy formula, have now been computed on both sides and the results match [16, 17, 18, 19, 20, 21].”