6D attractors and black hole microstates

DOI10.1007/JHEP12(2018)001zbMATH Open1405.83074arXiv1809.10685OpenAlexW3099545763WikidataQ128744921 ScholiaQ128744921MaRDI QIDQ1712284

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Publication date: 21 January 2019

Published in: (Search for Journal in Brave)

Abstract: We find a family of AdS${}_{2}imesmathcal{M}_4$ supersymmetric solutions of the six-dimensional $mathrmF(4)$ gauged supergravity coupled to one vector multiplet that arises as a low energy description of massive type IIA supergravity on (warped) AdS${}_{6}imes{S}^4$. $mathcal{M}_4$ is either a K"ahler-Einstein manifold or a product of two Riemann surfaces with a constant curvature metric. These solutions correspond to the near-horizon region of a family of static magnetically charged black holes. In the case where $mathcal{M}_4$ is a product of Riemann surfaces, we successfully compare their entropy to a microscopic counting based on the recently computed topologically twisted index of the five-dimensional $mathcalN=1$ $mathrmUSp(2N)$ theory with $N_f$ fundamental flavors and an antisymmetric matter field. Furthermore, our results suggest that the near-horizon regions exhibit an attractor mechanism for the scalars in the matter coupled $mathrmF(4)$ gauged supergravity, and we give a proposal for it.

Full work available at URL: https://arxiv.org/abs/1809.10685

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