Horizon Acoustics of the GHS Black Hole and the Spectrum of ${\mathrm{AdS}}_2$

Abstract

We uncover a novel structure in Einstein-Maxwell-dilaton gravity: an ${\mathrm{AdS}}_2\times S^2$ solution in string frame, which can be obtained by a near-horizon limit of the extreme GHS black hole with dilaton coupling $\lambda \ne 1$. Unlike the Bertotti-Robinson spacetime, our solution has independent length scales for the ${\mathrm{AdS}}_2$ and $S^2$, with ratio controlled by $\lambda$. We solve the perturbation problem for this solution, finding the independently propagating towers of states in terms of superpositions of gravitons, photons, and dilatons and their associated effective potentials. These potentials describe modes obeying conformal quantum mechanics, with couplings that we compute, and can be recast as giving the spectrum of the effective masses of the modes. By dictating the conformal weights of boundary operators, this spectrum provides crucial data for any future construction of a holographic dual to these ${\mathrm{AdS}}_2\times S^2$ configurations.

arXiv comment35 pages, 3 figures

References in corpus (18)

• Gauge Theory Correlators from Non-Critical String Theory
• Chaos in AdS${}_2$ holography
• An Investigation of AdS${}_2$ Backreaction and Holography
• Anti-de Sitter Fragmentation
• The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS_2 x S^2
• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• Near-horizon symmetries of extremal black holes
• Testing strong-field gravity with tidal Love numbers
• AdS2 Quantum Gravity and String Theory
• Black Holes as Elementary Particles
• Massive vector fields on the Schwarzschild spacetime: quasinormal modes and bound states
• Vacuum States for AdS_2 Black Holes
• Scalar, Electromagnetic and Gravitational Perturbations of Kerr-Newman Black Holes in the Slow-Rotation Limit
• Dynamically and thermodynamically stable black holes in Einstein-Maxwell-dilaton gravity
• Extreme Black Hole Anabasis
• Scattering of gravitational and electromagnetic waves off $Ad{S}_2\times S^2$ in extreme Reissner-Nordstrom
• Near-$Ad{S}_2$ perturbations and the connection with near-extreme Reissner-Nordstrom
• De-singularizing the extremal GMGHS black hole via higher derivatives corrections

Cited by in corpus (5)

• Causality, Unitarity, and the Weak Gravity Conjecture
• Sudden breakdown of effective field theory near cool Kerr-Newman black holes
• Charged Dilatonic Spacetimes in String Theory
• Bianchi IX geometry and the Einstein-Maxwell theory
• Large Diffeomorphisms and Accidental Symmetry of the Extremal Horizon