Abstract
We revisit non-rotating, dyonically charged, and supersymmetric AdS4 black holes, which are solutions of mathcal{N} = 2 gauged supergravity with vector- and hyper-multiplets. Uplifting the near horizon solutions to D = 11 supergravity on seven-dimensional Sasaki-Einstein manifolds, we show that dyonic AdS4 black holes correspond to AdS2 solutions with electric and magnetic baryonic fluxes in D = 11 supergravity. We identify the off-shell AdS4 black hole solutions with parameters of D = 11 AdS2 solutions without imposing the equations of motion. We calculate the entropy of dyonic black holes, carefully analyzing the Page charge quantization conditions.
Highlights
The microscopic understanding of the Bekenstein-Hawking entropy of black holes has been a touchstone for any theory of quantum gravity
Uplifting the near horizon solutions to D = 11 supergravity on seven-dimensional SasakiEinstein manifolds, we show that dyonic AdS4 black holes correspond to AdS2 solutions with electric and magnetic baryonic fluxes in D = 11 supergravity
There are previously well-known AdS2 solutions in D = 11 supergravity discovered a decade ago [31, 32]. These AdS2 solutions, which we review in the appendix A, are classified into two groups according to the explicit form of four-form flux
Summary
The microscopic understanding of the Bekenstein-Hawking entropy of black holes has been a touchstone for any theory of quantum gravity. The consistent truncations, which keep the Betti vector fields as well as the graviphoton, are constructed in [29] and the four-dimensional AdS black hole solutions with baryonic charges were studied in [30]. For the black holes in STU supergravity, whose massless vector fields come from the isometries of S7, the agreement between the entropy of the black hole and the topologically twisted index for ABJM theory holds for the dyonic case [2]. In appendix D, we discuss Newton’s constant in four- and two-dimensions
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