Black Hole Spectroscopy and AdS${}_2$ Holography

Abstract

We compute the spectrum of extremal nonBPS black holes in four dimensions by studying supergravity on their AdS${}_2\times S^2$ near horizon geometry. We find that the spectrum exhibits significant simplifications even though supersymmetry is completely broken. We interpret our results in the framework of nAdS${}_2$/nCFT${}_1$ correspondence and by comparing with dimensional reduction from AdS${}_3$/CFT${}_2$ duality. As an additional test we compute quantum corrections to extremal black hole entropy on the nonBPS branch and recover results previously determined using very different methods.

41 pages, 6 tables. v2: the version published on JHEP, with significant changes in section 5