Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function

Abstract

We evaluate the one loop determinant of matter multiplet fields of N=4 supergravity in the near horizon geometry of quarter BPS black holes, and use it to calculate logarithmic corrections to the entropy of these black holes using the quantum entropy function formalism. We show that even though individual fields give non-vanishing logarithmic contribution to the entropy, the net contribution from all the fields in the matter multiplet vanishes. Thus logarithmic corrections to the entropy of quarter BPS black holes, if present, must be independent of the number of matter multiplet fields in the theory. This is consistent with the microscopic results. During our analysis we also determine the complete spectrum of small fluctuations of matter multiplet fields in the near horizon geometry.

LaTeX file, 52 pages; v2: minor corrections, references added

References in corpus (20)

• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• CHL Dyons and Statistical Entropy Function from D1-D5 System
• Quantum Tunneling and Trace Anomaly
• Walls of Marginal Stability and Dyon Spectrum in N=4 Supersymmetric String Theories
• Comments on the Spectrum of CHL Dyons
• Double-Trace Deformations, Mixed Boundary Conditions and Functional Determinants in AdS/CFT
• Arithmetic of Quantum Entropy Function
• Product Representation of Dyon Partition Function in CHL Models
• A Farey tale for N=4 dyons
• Dyon Spectrum in N=4 Supersymmetric Type II String Theories
• Spectrum of Dyons and Black Holes in CHL orbifolds using Borcherds Lift
• Dyon Spectrum in Generic N=4 Supersymmetric Z_N Orbifolds
• Two Centered Black Holes and N=4 Dyon Spectrum
• Partition Functions of Torsion >1 Dyons in Heterotic String Theory on T^6
• Asymptotic Expansion of the N=4 Dyon Degeneracy
• Generalities of Quarter BPS Dyon Partition Function and Dyons of Torsion Two
• Discrete Information from CHL Black Holes
• Adding Charges to N=4 Dyons
• Generalized Kac-Moody Algebras from CHL dyons
• Genus Two Surface and Quarter BPS Dyons: The Contour Prescription