Holographic Duals of Kaluza-Klein Black Holes

TL;DR

This work extends the Kerr/CFT framework to five-dimensional extremal rotating Kaluza-Klein black holes by analyzing their near-horizon geometry with Brown-Henneaux methods. It uncovers two independent asymptotic symmetry groups, each giving a Virasoro algebra and a corresponding central charge, and computes the dual chiral CFT$_2$ temperatures, yielding microscopic entropies via Cardy that exactly reproduce the Bekenstein-Hawking result. The two dual descriptions, built from distinct boundary conditions along KK fibers, suggest two consistent holographic pictures for the same geometry, linked to known D0-D6 brane configurations. Overall, the paper provides a concrete route to understand chiral CFT$_2$ duals of extremal black holes and strengthens the bridge between gravity, string theory, and holography.

Abstract

We apply Brown-Henneaux's method to the 5D extremal rotating Kaluza-Klein black holes essentially following the calculation of the Kerr/CFT correspondence, which is not based on supersymmetry nor string theory. We find that there are two completely different Virasoro algebras that can be obtained as the asymptotic symmetry algebras according to appropriate boundary conditions. The microscopic entropies are calculated by using the Cardy formula for both boundary conditions and they perfectly agree with the Bekenstein-Hawking entropy. The rotating Kaluza-Klein black holes contain a 4D dyonic Reissner-Nordstrom black hole and Myers-Perry black hole. Since the D-brane configurations corresponding to these black holes are known, we expect that our analysis will shed some light on deeper understanding of chiral CFT2's dual to extremal black holes.