Logarithmic corrections to rotating extremal black hole entropy in four and five dimensions

By Ashoke Sen. 2011

179 citations recorded by the source corpus.

We compute logarithmic corrections to the entropy of rotating extremal black holes using quantum entropy function i.e. Euclidean quantum gravity approach. Our analysis includes five dimensional supersymmetric BMPV black holes in type IIB string theory on T5 and K3 × S1 as well as in the five dimensional CHL models, and also non-supersymmetric extremal Kerr black hole and slowly rotating extremal Kerr-Newmann black holes in four dimensions. For BMPV black holes our results are in perfect agreement with the microscopic results derived from string theory. In particular we reproduce correctly the dependence of the logarithmic corrections on the number of U(1) gauge fields in the theory, and on the angular momentum carried by the black hole in different scaling limits. We also explain the shortcomings of the Cardy limit in explaining the logarithmic corrections in the limit in which the (super)gravity description of these black holes becomes a valid approximation. For non-supersymmetric extremal black holes, e.g. for the extremal Kerr black hole in four dimensions, our result provides a stringent testing ground for any microscopic explanation of the black hole entropy, e.g. Kerr/CFT correspondence.

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

View Paper: https://www.semanticscholar.org/paper/a43dce2b415085ab3fa86100f5931c3aec4d03df

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Citations in the corpus

Universal spectrum of 2d conformal field theory in the large c limit (2014, methodology): “They were used in the original computation of [1], and underlie many of the more recent successful precision tests of black hole microstate counting in string theory summarized for example in [30, 31].”
Logarithmic corrections to Schwarzschild and other non-extremal black hole entropy in different dimensions (2012, methodology): “Macroscopic results also exist for a certain class of extremal non-supersymmetric black holes [20, 22, 26] but there are no microscopic results to compare them with.”
The statistical mechanics of near-BPS black holes (2020, background): “This has been studied extensively by Sen and collaborators [33–36].”
The statistical mechanics of near-extremal black holes (2020, background): “In fact, in [35], the scale Mgap defined through the connection between the two corrections (as the logarithmic area correction to the entropy is studied in a specific limit for the mass, charge and temperature; such a limit is not employed in this paper), it would be interesting to understand wheth”
A one-loop test of quantum supergravity (2012, methodology): “As explained in [16, 17, 18, 19, 20], one can extract from the Seeley–De Witt expansion the contribution to ln detA proportional to log L.”