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}
}
• Published 1 August 2022
• Physics
• Classical and Quantum Gravity
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…

References

SHOWING 1-9 OF 9 REFERENCES

• Mathematics
Compositio Mathematica
• 2003
We study Kähler surfaces with harmonic anti-self-dual Weyl tensor. We provide an explicit local description, which we use to obtain the complete classification in the compact case. We give new
1. Let (X, ω) be a compact connected 2w-dimensional manifold, and let (1.1) τ: T -+Όifί(X, ω) be an effective Hamiltonian action of the standard w-torus. Let φ: X —> R be its moment map. The image,
A theorem of Delzant states that any symplectic manifold $(M,\om)$ of dimension $2n$, equipped with an effective Hamiltonian action of the standard $n$-torus $\T^n = \R^{n}/2\pi\Z^n$, is a smooth
• Medicine, Chemistry
Nature
• 1974

Commun

• Math. Phys. 365
• 2019

015 doi:10.1088/1126-6708/2007/12/015 [arXiv:0708.3695 [hep-th]

• Kunduri and J. Lucietti, JHEP
• 2007

Class

• Quant. Grav. 36
• 2019

• Rel. 23
• 2020