Abstract
Freudenthal duality is, as of now, the unique non-linear map on electric-magnetic (e.m.) charges which is a symmetry of the Bekenstein-Hawking entropy of extremal black holes, displaying the Attractor Mechanism (possibly, up to some flat directions) in Maxwell-Einstein-scalar theories in four space-time dimensions and with non-trivial symplectic e.m. duality. In this paper, we put forward an effective approach to a consistent generalization of Freudenthal duality to near-extremal black holes, whose entropy is obtained within a Jackiw-Teitelboim gravity upon dimensional reduction. We name such a generalization near-extremal Freudenthal duality. Upon such a duality, two near-extremal black holes with two different (and both small) temperatures have the same entropy when their e.m. charges are related by a Freudenthal transformation. By exploiting Descartes’ rule of signs as well as Sturm’s Theorem, we show that our formulation of the near-extremal Freudenthal duality is analytical and unique.
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Acknowledgments
The work of AC is supported in part by the South African Research Chairs Initiative of the National Research Foundation, grant number 78554 and by the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska Curie grant agreement number 101034383. The work of TM is supported by a Simons Foundation Grant Award ID 509116 and by the South African Research Chairs initiative of the Department of Science and Technology and the National Research Foundation. The work of AM is supported by a “Maria Zambrano” distinguished researcher fellowship at the University of Murcia, Spain, financed by the European Union within the NextGenerationEU programme.
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Chattopadhyay, A., Mandal, T. & Marrani, A. Near-extremal Freudenthal duality. J. High Energ. Phys. 2023, 14 (2023). https://doi.org/10.1007/JHEP08(2023)014
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DOI: https://doi.org/10.1007/JHEP08(2023)014