Logarithmic correction to black hole entropy in universal low-energy string theory models

Abstract

We calculate the logarithmic correction to the entropy of asymptotically flat and AdS black holes (rotating, non-rotating, charged, and uncharged) embedded in Einstein-Maxwell-dilaton (EMD) theories with $U(1)$-charged. The leading quantum gravitational corrections are achieved in both extremal and non-extremal limits of black hole temperature by designing a common Euclidean gravity setup that evaluates the "logarithmic term" from one-loop effective actions via heat kernel method-based calculations. EMD theories are universal building blocks of compactified string theory or supergravity models in 4D. For a concrete example, we generalize the entire setup and calculate logarithmic corrections for black holes in $U(1{)}^2$-charged EMD models intersecting with $\mathcal{N}=4$ ungauged and gauged bosonic supergravity. In contrast to flat backgrounds, all the AdS${}_4$ results are found to be non-topological, providing a wider "infrared window" into the microscopic degrees of freedom of black holes in string theory.

arXiv commentv2: 57 pages + references, Published version in JHEP

References in corpus (69)

• Microscopic Origin of the Bekenstein-Hawking Entropy
• Black Hole Entropy is Noether Charge
• Lecture Notes on Holographic Renormalization
• Heat kernel expansion: user's manual
• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• Flux compactifications in string theory: a comprehensive review
• Logarithmic correction to the Bekenstein-Hawking entropy
• Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
• Quantum Tunneling Beyond Semiclassical Approximation
• Counting States of Near-Extremal Black Holes
• Supersymmetry as a Cosmic Censor
• Black hole microstates in AdS${}_4$ from supersymmetric localization
• Statistical Entropy of Four-Dimensional Extremal Black Holes
• AdS and the Swampland
• The Conical Singularity And Quantum Corrections To Entropy Of Black Hole
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• Logarithmic Corrections to Schwarzschild and Other Non-extremal Black Hole Entropy in Different Dimensions
• xPert: Computer algebra for metric perturbation theory
• Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates
• Black Holes in Gravity with Conformal Anomaly and Logarithmic Term in Black Hole Entropy
• Fermion Tunneling Beyond Semiclassical Approximation
• Logarithmic Corrections to N=4 and N=8 Black Hole Entropy: A One Loop Test of Quantum Gravity
• Quantum Tunneling and Trace Anomaly
• Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
• On "Non-Geometric" Contribution To The Entropy Of Black Hole Due To Quantum Corrections
• Logarithmic Corrections to Rotating Extremal Black Hole Entropy in Four and Five Dimensions
• Microstates of a Neutral Black Hole in M Theory
• Nonperturbative black hole entropy and Kloosterman sums
• A Universal Counting of Black Hole Microstates in AdS${}_4$
• Entropy Function and AdS(2)/CFT(1) Correspondence
• Arithmetic of Quantum Entropy Function
• Remarks on scale separation in flux vacua
• Exponential corrections to black hole entropy
• Holographic microstate counting for AdS${}_4$ black holes in massive IIA supergravity
• Black holes in the Brans-Dicke-Maxwell theory
• Quantum Gravitational Corrections to the Entropy of a Schwarzschild Black Hole
• Black hole entropy in massive Type IIA
• A One-loop Test of Quantum Black Holes in Anti de Sitter Space
• Higher Dimensional Dilaton Black Holes with Cosmological Constant
• Microscopic and Macroscopic Entropy of Extremal Black Holes in String Theory
• Black Hole Microstate Counting and its Macroscopic Counterpart
• Logarithmic correction to black hole entropy from the nonlocality of quantum gravity
• Rotating Black Hole Entropy from M5-branes
• Supersymmetric AdS vacua and separation of scales
• Logarithmic Corrections to Entropy of Magnetically Charged AdS4 Black Holes
• Logarithmic Corrections to $N\ge 2$ Black Hole Entropy
• Heat Kernel Expansion and Extremal Kerr-Newmann Black Hole Entropy in Einstein-Maxwell Theory
• Supersymmetric Black Holes in $N=8$ Supergravity
• On the quantum entropy function in 4d gauged supergravity
• Precision Microstate Counting for the Entropy of Wrapped M5-branes
• Quantum Gravitational Corrections to the Entropy of a Reissner-Nordström Black Hole
• Scalarized charged black holes in the Einstein-Maxwell-Scalar theory with two U(1) fields
• Factorization of log-corrections in AdS${}_4$/CFT${}_3$ from supergravity localization
• Quantum Corrections to Supergravity on AdS${}_2\times S^2$
• Logarithmic Corrections to Black Hole Entropy: the Non-BPS Branch
• Logarithmic Corrections to Extremal Black Hole Entropy in N = 2, 4 and 8 Supergravity
• Universal Logarithmic Behavior in Microstate Counting and the Dual One-loop Entropy of AdS${}_4$ Black Holes
• One-loop determinants for black holes in 4d gauged supergravity
• Super-Geometrodynamics
• Non-topological logarithmic corrections in minimal gauged supergravity
• Siegel Modular Forms and Black Hole Entropy
• Seeley-DeWitt Coefficients in $\mathcal{N}=2$ Einstein-Maxwell Supergravity Theory and Logarithmic Corrections to $\mathcal{N}=2$ Extremal Black Hole Entropy
• Evolution of Anti-de Sitter black holes in Einstein-Maxwell-dilaton theory
• Logarithmic Corrections to Twisted Indices from the Quantum Entropy Function
• Generalized Einstein-Maxwell theory: Seeley-DeWitt coefficients and logarithmic corrections to the entropy of extremal and non-extremal black holes
• Logarithmic corrections to black hole entropy in matter coupled $\mathcal{N}\ge 1$ Einstein-Maxwell supergravity
• General heat kernel coefficients for massless free spin-3/2 Rarita-Schwinger field
• 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

Cited by in corpus (5)

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• Non-perturbative correction on the black hole geometry
• Logarithmic correction to the entropy of a Kerr-Newman family of black holes in $U(1{)}^2$-charged STU supergravity models
• Thermodynamics as a tool for (quantum) gravitational dynamics
• Gravity from thermodynamics in vacuum: Lorentz invariance and the role of Bel-Robinson tensor