Higher Spin Black Holes from CFT

TL;DR

This paper explores higher spin black holes in three-dimensional gravity, demonstrating a precise match between bulk thermodynamics and dual CFT calculations, including higher spin corrections at high temperature.

Contribution

It provides an exact holographic computation of black hole free energy in higher spin gravity and its CFT dual, including higher spin corrections.

Findings

Exact agreement between bulk and boundary free energy calculations.

Higher spin corrections to free energy can be computed from CFT correlation functions.

Demonstrates the role of W-algebra currents in high-temperature regimes.

Abstract

Higher spin gravity in three dimensions has explicit black holes solutions, carrying higher spin charge. We compute the free energy of a charged black hole from the holographic dual, a 2d CFT with extended conformal symmetry, and find exact agreement with the bulk thermodynamics. In the CFT, higher spin corrections to the free energy can be calculated at high temperature from correlation functions of W-algebra currents.