Logarithmic Corrections to $N\ge 2$ Black Hole Entropy

Abstract

We revisit the computation of logarithmic corrections to black holes with N equal or greater than 2 supersymmetry. We employ an on-shell method that takes advantage of the symmetries in the AdS(2) x S**2 near horizon geometry. For bulk modes interactions are incorporated through the spectrum of chiral primaries that we derive afresh. The spectrum of boundary states is computed explicitly by analyzing gauge variations. Elementary heat kernels in 4D and 2D then give the logarithmic corrections to the black hole entropy. Our computation represents a streamlined and simplified derivation that agrees with the results recently found by A. Sen.

arXiv comment30 pages+reference added

References in corpus (18)

• Heat kernel expansion: user's manual
• N=2 Extremal Black Holes
• Dilaton Gravity in Two Dimensions
• General Logarithmic Corrections to Black Hole Entropy
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• Logarithmic Corrections to Schwarzschild and Other Non-extremal Black Hole Entropy in Different Dimensions
• Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates
• Logarithmic Corrections to N=4 and N=8 Black Hole Entropy: A One Loop Test of Quantum Gravity
• Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
• Logarithmic Corrections to Rotating Extremal Black Hole Entropy in Four and Five Dimensions
• The Heat Kernel on $AdS$
• Heat Kernel Expansion and Extremal Kerr-Newmann Black Hole Entropy in Einstein-Maxwell Theory
• Fermion States on the Sphere $S^2$
• Mass Spectrum of D=11 Supergravity on AdS2 x S2 x T7
• Supergravity spectrum on AdS_2 x S^2
• Mass spectrum of N=8 supergravity on AdS_2 \times S^2
• On Wald entropy of black holes: logarithmic corrections and trace anomaly
• Heat Kernels on the AdS(2) cone and Logarithmic Corrections to Extremal Black Hole Entropy

Cited by in corpus (31)

• GUP-Corrected Thermodynamics for all Black Objects and the Existence of Remnants
• Constraints on the Generalized Uncertainty Principle from Black Hole Thermodynamics
• All solutions of the localization equations for N=2 quantum black hole entropy
• Horizon fluff, semi-classical black hole microstates - Log-corrections to BTZ entropy and black hole/particle correspondence
• Quantum black hole entropy and the holomorphic prepotential of N=2 supergravity
• Quantum Corrections to Supergravity on AdS${}_2\times S^2$
• A One-Loop Test of the near-AdS${}_2$/near-CFT${}_1$ Correspondence
• Logarithmic corrections to black hole entropy from Kerr/CFT
• Logarithmic Corrections to Black Hole Entropy: the Non-BPS Branch
• Quantum corrections to a finite temperature BIon
• Quantum Work and Information Geometry of a Quantum Myers-Perry Black Hole
• Quantum Thermodynamics of an ${\alpha }^{\prime }$-Corrected Reissner-Nordström Black Hole
• Logarithmic correction to black hole entropy in universal low-energy string theory models
• Divergences and Boundary Modes in N=8 Supergravity
• Quantum corrections to the thermodynamics of rotating charged BTZ black hole in gravity's rainbow
• Generalized Einstein-Maxwell theory: Seeley-DeWitt coefficients and logarithmic corrections to the entropy of extremal and non-extremal black holes
• Thermodynamics of noncommutative quantum Kerr black holes
• Logarithmic corrections to black hole entropy in matter coupled $\mathcal{N}\ge 1$ Einstein-Maxwell supergravity
• Logarithmic correction to the entropy of extremal black holes in $\mathcal{N}=1$ Einstein-Maxwell supergravity
• Logarithmic corrections to the entropy of non-extremal black holes in $\mathcal{N}=1$ Einstein-Maxwell supergravity
• Partition Functions with spin in AdS_2 via Quasinormal Mode Methods
• Universal Corrections to Black Hole Entropy in $\mathcal{N}\ge 2$ Supergravity
• Logarithmic correction to the entropy of a Kerr-Newman family of black holes in $U(1{)}^2$-charged STU supergravity models
• Information Theoretical Approach to Detecting Quantum Gravitational Corrections
• Quantum Black Hole Entropy, Localization and the Stringy Exclusion Principle
• Bootstrapping AdS${}_2\times$ S${}^2$ hypermultiplets: hidden four-dimensional conformal symmetry
• Central charges, elliptic genera, and Bekenstein-Hawking entropy in $\mathcal{N}=(2,2)$ AdS${}_3$/CFT${}_2$
• Exact holography and black hole entropy in N=8 and N=4 string theory
• Lost Chapters in CHL Black Holes: Untwisted Quarter-BPS Dyons in the ${\mathbb{Z}}_2$ Model
• Supersymmetric localization: $\mathcal{N}=(2,2)$ theories on S${}^2$ and AdS${}_2$
• Near-AdS${}_2$ Spectroscopy: classifying the spectrum of operators and interactions in $\mathcal{N}=2$ 4D supergravity