Exact Microscopic Entropy of Non-Supersymmetric Extremal Black Rings

TL;DR

This paper demonstrates that the microscopic entropy of non-supersymmetric extremal black rings can be exactly matched using a conformal field theory approach, extending previous methods to a broader class of black rings.

Contribution

It shows the exact microscopic entropy for a large class of non-supersymmetric extremal black rings using a conformal field theory framework, including cases with no conserved charges.

Findings

Exact entropy matches for all ring radii in the studied class.

Mass renormalization interpreted as interaction potential energy.

Identification of one sector of chiral excitations, with the other sector still needing understanding.

Abstract

In this brief note we show that the horizon entropy of the largest known class of non-supersymmetric extremal black rings, with up to six parameters, is exactly reproduced for all values of the ring radius using the same conformal field theory of the four-charge four-dimensional black hole. A particularly simple case is a dipole black ring without any conserved charges. The mass gets renormalized, but the first corrections it receives can be easily understood as an interaction potential energy. Finally, we stress that even if the entropy is correctly reproduced, this only implies that one sector of chiral excitations has been identified, but an understanding of excitations in the other sector is still required in order to capture the black ring dynamics.