# On the uniqueness of supersymmetric AdS(5) black holes with toric symmetry

@article{Lucietti2022OnTU, title={On the uniqueness of supersymmetric AdS(5) black holes with toric symmetry}, author={James Lucietti and Praxitelis Ntokos and Sergei G. Ovchinnikov}, journal={Classical and Quantum Gravity}, year={2022}, volume={39} }

We consider the classification of supersymmetric AdS5 black hole solutions to minimal gauged supergravity that admit a torus symmetry. This problem reduces to finding a class of toric Kähler metrics on the base space, which in symplectic coordinates are determined by a symplectic potential. We derive the general form of the symplectic potential near any component of the horizon or axis of symmetry, which determines its singular part for any black hole solution in this class, including possible…

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