Black Flower Microstates

TL;DR

This paper explores novel non-axisymmetric black hole solutions in AdS3 gravity, analyzing their thermodynamics and microstates, and demonstrates a precise match between microstate counting and black hole entropy.

Contribution

It introduces a new class of black flower geometries in AdS3, providing explicit microstate counting and connecting boundary fermionic degrees of freedom to black hole entropy.

Findings

Exact microstate counting matches Bekenstein-Hawking entropy.

Constructed a tractable class of non-axisymmetric black hole solutions.

Analyzed thermodynamic properties and entropy dependence on angular deformations.

Abstract

We investigate stationary, non-axisymmetric black hole solutions in AdS$_3$ gravity, known as black flower geometries, in the Chern-Simons formulation. Boundary conditions are specified by a collective field theory-inspired Hamiltonian with field-dependent chemical potentials and angularly inhomogeneous boundary data. We construct a tractable class of solutions and analyze their geometric and thermodynamic properties, obtaining an entropy with nontrivial dependence on the angular deformation. Upon quantization of the boundary theory via bosonization, the boundary degrees of freedom are mapped to relativistic free fermions. We explicitly construct and count the microstates associated with a given black flower geometry and find exact agreement with the Bekenstein-Hawking entropy.