Three Dimensional Origin of AdS_2 Quantum Gravity

TL;DR

This paper investigates AdS_2 quantum gravity, establishing its consistency with AdS_3 results, and applies findings to near-extremal Kerr black holes, confirming key parameters and entropy calculations.

Contribution

It demonstrates the consistency of AdS_2 quantum gravity with AdS_3 results and accurately captures black hole thermodynamics and entropy.

Findings

Parameters like central charges match 3D results.

AdS_2 quantum gravity yields correct central charge c=12J.

Entropy of near-extremal Kerr black holes is correctly reproduced.

Abstract

We study AdS_2 quantum gravity with emphasis on consistency with results from AdS_3. We lift AdS_2 black holes to three dimensions and map fluctuations around the solutions. Comparison with near extremal BTZ are discussed, with due emphasis on global aspects. The results confirm that parameters like central charges and conformal weights computed directly in 2D are consistent with standard results in 3D. Applying our results to the thermodynamics of near extreme Kerr black holes, we show that AdS_2 quantum gravity gives the correct central charge c=12J, and the entropy of excitations above the extremal limit is captured correctly.