Uplifting dyonic AdS${}_4$ black holes on seven-dimensional Sasaki-Einstein manifolds

Abstract

We revisit non-rotating, dyonically charged, and supersymmetric AdS${}_4$ black holes, which are solutions of $\mathcal{N}=2$ gauged supergravity with vector- and hyper-multplets. Uplifting the near horizon solutions to $D=11$ supergravity on seven-dimensional Sasaki-Einstein manifolds, we show that dyonic AdS${}_4$ black holes correspond to AdS${}_2$ solutions with electric and magnetic baryonic fluxes in $D=11$ supergravity. We identify the off-shell AdS${}_4$ black hole solutions with parameters of $D=11$ AdS${}_2$ solutions without imposing the equations of motion. We calculate the entropy of dyonic black holes, carefully analyzing the Page charge quantization conditions.

arXiv comment41 pages

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