Kaluza-Klein theory, AdS/CFT correspondence and black hole entropy

TL;DR

This paper explores how the asymptotic symmetries of near-horizon geometries in Kaluza-Klein theory relate to black hole entropy deviations, utilizing AdS/CFT correspondence and Virasoro mode decomposition.

Contribution

It demonstrates that extra dimensions in Kaluza-Klein theory justify the Virasoro mode analysis of near-horizon geometries and explain entropy deviations from extremality.

Findings

Asymptotic symmetries account for entropy deviations.

Extra dimensions validate Virasoro mode decomposition.

Near-horizon geometry analysis links to AdS/CFT correspondence.

Abstract

The asymptotic symmetries of the near-horizon geometry of a lifted (near-extremal) Reissner-Nordstrom black hole, obtained by inverting the Kaluza-Klein reduction, explain the deviation of the Bekenstein-Hawking entropy from extremality. We point out the fact that the extra dimension allows us to justify the use of a Virasoro mode decomposition along the time-like boundary of the near-horizon geometry, AdS$_2\times$S$^n$, of the lower-dimensional (Reissner-Nordstrom) spacetime.