AdS4/CFT3+Gravity for Accelerating Conical Singularities

TL;DR

This paper investigates quantum corrections and gravitational backreaction for accelerating particles in a 2+1 D flat background, connecting the results to AdS/CFT correspondence and black hole thermodynamics at finite temperature.

Contribution

It introduces a novel analysis of accelerating particles using finite temperature techniques and relates the findings to the AdS/CFT duality with implications for black hole physics.

Findings

Energy-momentum tensor diverges without transparent boundary conditions.

Derived a metric describing accelerating black holes with CFT corrections.

Explored thermodynamics of strongly coupled CFT in an accelerating black hole setup.

Abstract

We study the quantum-mechanical corrections to two point particles accelerated by a strut in a 2+1 D flat background. Since the particles are accelerating, we use finite temperature techniques to compute the Green's function of a conformally coupled scalar applying transparent and Dirichlet boundary conditions at the location of the strut. We find that the induced energy-momentum tensor diverges at the position of the strut unless we impose transparent boundary conditions. Further, we use the regular form of the induced energy-momentum tensor to calculate the gravitational backreaction on the original space. The resulting metric is a constant $\phi$ section of the 4-dimensional C-metric, and it describes two black holes corrected by weakly coupled CFT and accelerating in asymptotically flat spacetime. Interestingly enough, the same form of the metric was obtained before in 0803.2242 by cutting the AdS C-metric with angular dependent critical 2-brane. According to AdS/CFT+gravity conjecture, the latter should describe strongly coupled CFT black holes accelerating on the brane. The presence of the CFT at finite temperature gives us a unique opportunity to study the AdS/CFT+gravity conjecture at finite temperatures. We calculate various thermodynamic parameters to shed light on the nature of the strongly coupled CFT. This is the first use of the duality in a system containing accelerating particles on the brane.