Ana Climent

We construct charged, static black holes in three-dimensional de Sitter (dS₃) space that exactly account for semi-classical backreaction effects due to quantum conformal matter. This is accomplished using braneworld holography, where an accelerating, electrically charged anti-de Sitter₄ black hole localizes on a Randall-Sundrum end-of-the-world brane. Absent of backreaction, the black hole disappears, leaving a chemical conical defect. The “quantum” black hole has a physical parameter space characterized by a shark-fin diagram, with extremal, Nariai, and ultracold limits. We give a detailed analysis of the horizon thermodynamics, where we find the heat capacity of charged and neutral dS₃ black holes features Schottky peaks. In particular, for a specific temperature range, charged quantum black holes behave as thermal systems with a finite number of energy levels available to their underlying microscopic degrees of freedom, beyond which many energy levels become available. Finally, we compute the probability of nucleating quantum dS black holes. Our work gives a first step to study quantum matter backreaction effects on dS black hole decay.

We construct charged, static black holes in three-dimensional de Sitter (dS$_{3}$) space that exactly account for semi-classical backreaction effects due to quantum conformal matter. This is accomplished using braneworld holography, where an accelerating, electrically charged anti-de Sitter$_{4}$ black hole localizes on a Randall-Sundrum end-of-the-world brane. Absent of backreaction, the black hole disappears, leaving a chemical conical defect. The "quantum" black hole has a physical parameter space characterized by a shark-fin diagram, with extremal, Nariai, and ultracold limits. We give a detailed analysis of the horizon thermodynamics, where we find the heat capacity of charged and neutral dS$_{3}$ black holes features Schottky peaks. In particular, for a specific temperature range, charged quantum black holes behave as thermal systems with a finite number of energy levels available to their underlying microscopic degrees of freedom, beyond which many energy levels become available. Finally, we compute the probability of nucleating quantum dS black holes. Our work gives a first step to study quantum matter backreaction effects on dS black hole decay.

A bstract: We study systems in 2 + 1 dimensions consisting of defects that source an electric charge, or a magnetic flux, of a U(1) field, and we use holography to compute their effects on quantum conformal fields. We can also hide the defects inside the horizon of a black hole, where they continue to affect the quantum fields outside. By extending the solutions to braneworld holography, we find the non-linear backreaction of the quantum fields on the defect and black hole backgrounds. This gives quantum charged point particles and black holes. The charged quantum black holes markedly differ from classically charged BTZ black holes, since the quantum-induced electromagnetic field in 2 + 1 dimensions has a better asymptotic behavior than its classical counterpart. The construction also gives a new class of (near-)extremal charged quantum black holes with AdS ₂ throats.