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

TL;DR

This paper explores the uplift of dyonic AdS4 black holes to eleven-dimensional supergravity, revealing their correspondence with AdS2 solutions and analyzing their entropy and charge quantization.

Contribution

It demonstrates the uplift of supersymmetric dyonic AdS4 black holes to D=11 supergravity on Sasaki-Einstein manifolds and identifies their AdS2 counterparts without solving equations of motion.

Findings

Dyonic AdS4 black holes correspond to AdS2 solutions with baryonic fluxes in D=11 supergravity.

The off-shell AdS4 black hole parameters match D=11 AdS2 solutions.

Entropy calculations incorporate Page charge quantization conditions.

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.