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.

v2: 57 pages + references, Published version in JHEP

References in corpus (27)

• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• xPert: Computer algebra for metric perturbation theory
• Fermion Tunneling Beyond Semiclassical Approximation
• Quantum Tunneling and Trace Anomaly
• Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
• Microstates of a Neutral Black Hole in M Theory
• Nonperturbative black hole entropy and Kloosterman sums
• Entropy Function and AdS(2)/CFT(1) Correspondence
• Arithmetic of Quantum Entropy Function
• Exponential corrections to black hole entropy
• Holographic microstate counting for AdS${}_4$ black holes in massive IIA supergravity
• Quantum Gravitational Corrections to the Entropy of a Schwarzschild Black Hole
• Logarithmic correction to black hole entropy from the nonlocality of quantum gravity
• Logarithmic Corrections to Entropy of Magnetically Charged AdS4 Black Holes
• Logarithmic Corrections to $N\ge 2$ Black Hole Entropy
• 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${}_2\times S^2$
• Universal Logarithmic Behavior in Microstate Counting and the Dual One-loop Entropy of AdS${}_4$ Black Holes
• Super-Geometrodynamics
• Non-topological logarithmic corrections in minimal gauged supergravity
• 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
• Logarithmic corrections to the entropy of non-extremal black holes in $\mathcal{N}=1$ Einstein-Maxwell supergravity

Cited by in corpus (5)

• Revisiting Leading Quantum Corrections to Near Extremal Black Hole Thermodynamics
• 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