Macroscopic computation of charge-ratio logarithmic corrections to black hole entropy agrees with microscopic results in N=4 and N=8 string theories after including string-scale cutoff, dilaton-dependent measure, Kalb-Ramond variable, and microcanonical ensemble.
Black Hole Entropy Function, Attractors and Precision Counting of Microstates
7 Pith papers cite this work. Polarity classification is still indexing.
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abstract
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 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-centered black holes as well.
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Constructs complex BTZ x S3 saddles for the supersymmetric index in AdS3 x S3 supergravity, matching supersymmetry requirements through two-center 4D solutions with complex charges and 6D black strings.
Derives analytic α' corrections to the three-charge BMPV black hole geometry and computes its corrected entropy via generalized Wald formula, matching supersymmetric index results.
Constructs index saddle for D1-D5-P black string via BPS limit and uplift, with decoupling to BTZ x S^3 computing CFT index.
Two extremal black holes with secondary scalar hair are identified in a two-U(1) Einstein-Maxwell-scalar theory using scalarization and entropy function methods, implying primary hair is difficult to obtain.
The non-extremal saddle for the 5D BMPV black hole index is expressed in canonical harmonic-function form on a flat base, establishing supersymmetry and the new attractor property.
citing papers explorer
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Logarithm of charge ratio in black hole entropy
Macroscopic computation of charge-ratio logarithmic corrections to black hole entropy agrees with microscopic results in N=4 and N=8 string theories after including string-scale cutoff, dilaton-dependent measure, Kalb-Ramond variable, and microcanonical ensemble.
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Complex BPS Black Holes in AdS$_3\times S^3$
Constructs complex BTZ x S3 saddles for the supersymmetric index in AdS3 x S3 supergravity, matching supersymmetry requirements through two-center 4D solutions with complex charges and 6D black strings.
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BMPV black hole at first order in $\alpha'$
Derives analytic α' corrections to the three-charge BMPV black hole geometry and computes its corrected entropy via generalized Wald formula, matching supersymmetric index results.
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Index saddle for the D1-D5-P black string and its decoupling limit
Constructs index saddle for D1-D5-P black string via BPS limit and uplift, with decoupling to BTZ x S^3 computing CFT index.
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Scalarized extremal black holes in the Einstein-Maxwell-scalar theory with two U(1) fields
Two extremal black holes with secondary scalar hair are identified in a two-U(1) Einstein-Maxwell-scalar theory using scalarization and entropy function methods, implying primary hair is difficult to obtain.
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Attractor saddle for 5D black hole index
The non-extremal saddle for the 5D BMPV black hole index is expressed in canonical harmonic-function form on a flat base, establishing supersymmetry and the new attractor property.
- Supersymmetry and Attractors in N = 4 Supergravity: The Superconformal Approach