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How to build a black hole out of instantons

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jats:titleAjats:scbstract</jats:sc> </jats:title>jats:pAn often fruitful route to study quantum gravity is the determination and study of quantum mechanical models — that is, models with finite degrees of freedom — that capture the dynamics of a black hole’s microstates. An example of such a model is the superconformal quantum mechanics of Yang-Mills instantons, which has a proposed gravitational dual description as M-theory on a background of the form jats:italicX</jats:italic>jats:sub7</jats:sub> × jats:italicS</jats:italic>jats:sup4</jats:sup>. This model arises in the strongly-coupled limit of the BFSS matrix model with additional fundamental hypermultiplets, offering a route towards useful numerical simulation. We construct a six-parameter black hole solution in this theory, which is generically non-supersymmetric and non-extremal, and is shown to arise in an “ultra-spinning” limit of the recently-found six-parameter AdSjats:sub7</jats:sub> solution. We compute its thermodynamic properties, and show that in the supersymmetric limit the entropy and on-shell action match precisely the expected results as computed from the superconformal index of the quantum mechanics, to leading order in the supergravity regime. The low-lying spectrum thus provides access to the dynamics of near-extremal black holes, whose spectra are expected to receive strong quantum corrections.</jats:p>


Acknowledgements: I am grateful to Eric Bergshoeff, Micha Berkooz, Davide Cassani, Alejandra Castro, Robie Hennigar, Matt Heydeman, Seyed Morteza Hosseini, Seok Kim, Johannes Lahnsteiner, Gerben Oling, Domenico Orlando, Vito Pellizzani, Aaron Poole, Susanne Reffert and Ziqi Yan for helpful discussions. Special thanks go to Nick Dorey and Boan Zhao for the enjoyable collaboration [51, 64] that lead to this project. Yet more special thanks go in particular to Nikolay Bobev, Marina David, and Junho Hong, for inspiring discussions on black holes in supergravity as we completed our work [71]. Finally, thank you to Jackson Fliss and Bernardo Zan, for the inspiration behind figure 1. I am supported by David Tong’s Simons Investigator Award. This work has also been partially supported by the STFC consolidated grant ST/T000694/1.


5106 Nuclear and Plasma Physics, 5107 Particle and High Energy Physics, 4902 Mathematical Physics, 49 Mathematical Sciences, 51 Physical Sciences

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Journal of High Energy Physics

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Springer Science and Business Media LLC
STFC (ST/T000694/1)