TL;DR
This paper explores the near-horizon geometry of extremal Kerr black holes, showing how boundary conditions lead to a Virasoro algebra, and proposes a free-field construction of this algebra.
Contribution
It introduces a novel free-field construction of the Virasoro algebra arising from Kerr black hole near-horizon geometries.
Findings
Boundary conditions enhance U(1) to Virasoro algebra
Proposed free-field realization of the Virasoro algebra
Insights into black hole near-horizon symmetries
Abstract
The near-horizon geometry of the extremal four-dimensional Kerr black hole and certain generalizations thereof has an SL(2,R) x U(1) isometry group. Excitations around this geometry can be controlled by imposing appropriate boundary conditions. For certain boundary conditions, the U(1) isometry is enhanced to a Virasoro algebra. Here, we propose a free-field construction of this Virasoro algebra.
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