Abstract
We construct an \( \mathcal{N} \) = 2 supersymmetric gauged quantum mechanics, by starting from the 3d Chern-Simons-matter theory holographically dual to massive Type IIA string theory on AdS4 × S6, and Kaluza-Klein reducing on S2 with a background that is dual to the asymptotics of static dyonic BPS black holes in AdS4. The background involves a choice of gauge fluxes, that we fix via a saddle-point analysis of the 3d topologically twisted index at large N. The ground-state degeneracy of the effective quantum mechanics reproduces the entropy of BPS black holes, and we expect its low-lying spectrum to contain information about near-extremal horizons. Interestingly, the model has a large number of statistically-distributed couplings, reminiscent of SYK models.
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Acknowledgments
We are grateful to Dionysios Anninos, Matthew Heydeman, Luca Iliesiu, Juan Maldacena, Gustavo Turiaci, and Alberto Zaffaroni for very useful discussions, and in particular to Itamar Shamir for collaboration in the early stages of this work. We gratefully acknowledge support from the Simons Center for Geometry and Physics, Stony Brook University and the organizers of the SCGP workshop “Supersymmetric black holes, holography and microstate counting”, as well as the Galileo Galilei Institute (Firenze), the INFN and the organizers of the workshop “Topological properties of gauge theories and their applications to high-energy and condensed-matter physics”, where part of this work was done. S.S. especially thanks KU Leuven for hospitality, and Z.Z. thanks the hospitality of the Department of Mathematics at Durham University, during part of this work. F.B., S.S and Z.Z. are partially supported by the ERC-COG grant NP-QFT No. 864583 “Non-perturbative dynamics of quantum fields: from new deconfined phases of matter to quantum black holes”, by the MIUR-SIR grant RBSI1471GJ, by the MIUR-PRIN contract 2015 MP2CX4, as well as by the INFN “Iniziativa Specifica ST&FI”.
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Benini, F., Soltani, S. & Zhang, Z. A quantum mechanics for magnetic horizons. J. High Energ. Phys. 2023, 70 (2023). https://doi.org/10.1007/JHEP05(2023)070
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DOI: https://doi.org/10.1007/JHEP05(2023)070