Holographic Descriptions of Black Rings

TL;DR

This paper explores the holographic dual descriptions of neutral doubly rotating and dipole charged black rings, confirming the duality through thermodynamics, symmetry analysis, and scattering experiments, thus deepening understanding of black ring holography.

Contribution

It provides a detailed analysis of the holographic duals of black rings, including central charge calculations and scattering amplitude matches, extending holographic descriptions to these objects.

Findings

Exact agreement of central charges from symmetry analysis.

Matching scattering amplitudes with CFT predictions.

Confirmation of holographic duality for extremal black rings.

Abstract

In this paper, we investigate the holographic descriptions of two kinds of black rings, the neutral doubly rotating black ring and the dipole charged black ring. For generic nonextremal black rings, the information of holographic CFT duals, including the central charges and left- and right-moving temperatures, could be read from the thermodynamics at the outer and inner horizons, as suggested in arXiv:1206.2015. To confirm these pictures, we study the extreme black rings in the well-established formalism. We compute the central charges of dual CFTs by doing asymptotic symmetry group analysis in the stretched horizon formalism, and find exact agreements. Moreover, we study the superradiant scattering of a scalar field off the near-extremal black rings and obtain the scattering amplitudes, which are in good match with the CFT predictions.