Tidal perturbations and Love symmetry for five-dimensional charged rotating black holes

We investigate the tidal response of general five-dimensional (5D) black holes in nontrivial setting of N = 2 supergravity with three vector multiplets known as STU theory, which include as special cases important solutions such as the Myers-Perry, Breckenridge-Myers-Peet-Vafa, 5D Reissner-Nordström, Kerr-Newman, and dyonic black holes. Solutions are paramterized by their mass, two angular momenta, and up to three U(1) charges. Love numbers and dissipation coefficients are obtained in the static and dynamic cases. In the latter scenario, we find new, nontrivial conditions, realized in important limiting cases of the theory, such as the Bogomol’nyi-Prasad-Sommerfield limit, where frequency-independent vanishing conditions are obtained. We also develop a ladder formalism for static solutions and derive the conserved charges. To the best of our knowledge, this formalism had not been previously derived for 5D black holes, including neutral ones. Finally, we show the emergence of Love symmetry in the near-zone regime and derive the generators of the associated s l ( 2 , R ) algebra. It is shown that all conditions for Love-number vanishing can be explained by this algebra in terms of the highest-weight property.