alpha'^2-corrections to extremal dyonic black holes in heterotic string theory

Abstract

We calculate alpha'^2-corrections to the entropy of the 5-dimensional 3-charge and the 4-dimensional 4-charge large extremal black holes using the low energy effective action of the heterotic string theory. In the 4-dimensional case, our results are in agreement with the microscopic statistical entropy both for the BPS and the non-BPS black holes. In the more interesting 5-dimensional case, where the direct microscopic stringy description is still unknown, our results for the BPS black holes are in agreement with the results obtained from the action supplemented with R^2-correction obtained by supersymmetric completion of the gravitational Chern-Simons term. This agreement does not extend to the non-BPS black holes, for which we propose a different expression for the entropy. We show that the new expression is supported by certain alpha'^3-order calculations, and by the arguments based on the AdS/CFT correspondence.

21 pages; v2: references added; v3: claims on contributions from alpha'^2 part of the action made precise and proved in new Appendix C, version published in JHEP

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Cited by in corpus (10)

• Supersymmetric Index from Black Hole Entropy
• String Theory Effects on Five-Dimensional Black Hole Physics
• Corrections to the statistical entropy of five dimensional black holes
• alpha'-exact entropies for BPS and non-BPS extremal dyonic black holes in heterotic string theory from ten-dimensional supersymmetry
• Extremal dyonic black holes in D=4 Gauss-Bonnet gravity
• Curvature squared action in four dimensional $N=2$ supergravity using the dilaton Weyl multiplet
• Five-dimensional black holes in heterotic string theory
• Stringy effects in black hole decay
• More on entropy function formalism for non-extremal branes
• Small black holes in the large D limit