We show that holographic CFTs with a global U(1) symmetry that contain particles satisfying a form of the weak gravity conjecture, contain states that thermalize much slower than the typical thermalization time set by the black hole temperature. In the eikonal limit, these states correspond to metastable bulk configurations containing charged particles hovering outside the horizon of a Reissner–Nordström black hole in AdS. More generally, we study slow thermalization by computing the quasinormal modes of black holes due to charged scalar perturbations. We find that these states persist a finite distance away from the critical point in the EFT parameters, contrary to the 'critical slowing down' behavior expected near a phase transition.
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Slava Rychkov
