Finite temperature corrections to black hole quasinormal modes from 2D CFT

Abstract

We revisit the holographic calculation of the decay modes of the BTZ blackhole perturbed by a scalar probe. We carry out a finite temperature expansion of the torus two point function of large central charge $(c)$ CFTs in order to obtain the corrections to blackhole quasinormal modes. We take the contribution of the lightest primary above the vacuum, with dimension ${\Delta }_{\chi }$ and upper bound of $c/6$, in the torus two point function. We exploit the modular properties of 2D CFT on the torus to connect the expression of thermal two point function at high temperature with the same at low temperature. The correction term can be expressed as a four point function on the Riemann sphere. In the dual bulk theory the corrections are expected to arise due to the presence of a light matter field in the spacetime along with gravity. In the holographic limit the effects of this correction term is encoded in the change in blackhole temperature. This leads to new quasinormal modes and modification of thermalization time scale.

References in corpus (26)

• Gauge Theory Correlators from Non-Critical String Theory
• The Black Hole in Three Dimensional Space Time
• Quasi-Normal Modes of Stars and Black Holes
• Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
• Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes
• Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
• Universality of Long-Distance AdS Physics from the CFT Bootstrap
• Virasoro Conformal Blocks and Thermality from Classical Background Fields
• Choptuik Scaling and Quasinormal Modes in the AdS/CFT Correspondence
• Universal Low-Energy Dynamics for Rotating Black Holes
• A Universal Inequality for CFT and Quantum Gravity
• On geodesic propagators and black hole holography
• Constraints on 2d CFT partition functions
• A Cardy Formula for Three-Point Coefficients: How the Black Hole Got its Spots
• Virasoro conformal blocks in closed form
• Relaxation in Conformal Field Theory, Hawking-Page Transition, and Quasinormal/Normal Modes
• Hawking from Catalan
• Probing thermality beyond the diagonal
• Three-Dimensional Black Holes and String Theory
• Bounds on Operator Dimensions in 2D Conformal Field Theories
• Restoring Unitarity in BTZ Black Hole
• Semi-classical Virasoro blocks: proof of exponentiation
• Probing beyond ETH at large $c$
• Universality in asymptotic bounds and its saturation in $2$D CFT
• A note on the Virasoro blocks at order $1/c$
• Chaos bound in Bershadsky-Polyakov theory