D-brane Construction of the 5D NHEK Dual

TL;DR

This paper constructs a 5D D-brane model for the NHEK geometry of extremal black holes, revealing a dual description as an IR limit of a wrapped brane configuration with specific charges and thermodynamic properties.

Contribution

It introduces a D-brane construction of the 5D NHEK geometry, providing a new dual perspective involving a wrapped brane configuration with detailed charge and temperature characteristics.

Findings

Identified a second asymptotically flat extension of the NHEK geometry.

Mapped the NHEK geometry to an IR limit of a D1-D5-Taub-NUT brane system.

Characterized the dual configuration with specific charges, temperatures, and chemical potentials.

Abstract

Extremal but non-supersymmetric charged black holes with SU(2)_L spin in IIB string theory compactified to five dimensions on K^3 x S^1 are considered. These have a near-horizon or NHEK region with an enhanced SL(2,R)_L conformal symmetry. It is shown that the NHEK geometry has a second, inequivalent, asymptotically flat extension in which the radius of the S^1 becomes infinite but the radius of the angular circles of SU(2)_L orbits approach a constant. The asymptotic charges associated to the second solution identify it as a 5D D1-D5-Taub-NUT black string with certain nonzero worldvolume charge densities, temperatures and chemical potentials. The dual of the NHEK geometry is then identified as an IR limit of this wrapped brane configuration.