Abstract
We construct solutions in the form of AdS2 × Σ, where Σ denotes a spindle geometry, within a particular 4d \( \mathcal{N} \) = 2 gauged supergravity with vector multiplets and a charged hypermultiplet stemming from a consistent truncation of 6d matter coupled F(4) gauged supergravity on a Riemann surface. We also compute the Bekenstein-Hawking entropy for the presumed asymptotically AdS4 black hole solutions, providing a dual prediction for the spindle index of 3d superconformal field theories falling under the class \( \mathcal{F} \). Notably, the gravitational block description of the solutions accurately replicates the entropy and the values of scalar fields at the two orbifold points of the spindle, validating our findings.
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Acknowledgments
We wish to thank Seyed Morteza Hosseini and Alberto Zaffaroni for illuminating discussions. The study of KH is financed by the European Union — NextGenerationEU, through the National Recovery and Resilience Plan of the Republic of Bulgaria, project No BG-RRP-2.004-0008-C01. KH wishes to thank the kind hospitality of the MATRIX Program, “New Deformations of Quantum Field and Gravity Theories,” during the final stage of this project. MS was supported by the Kumoh National Institute of Technology.
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Hristov, K., Suh, M. Spindle black holes and theories of class \( \mathcal{F} \). J. High Energ. Phys. 2024, 6 (2024). https://doi.org/10.1007/JHEP08(2024)006
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DOI: https://doi.org/10.1007/JHEP08(2024)006