Quantum-corrected anti–de Sitter spacetime

We study the backreaction of a quantum scalar field on anti–de Sitter (AdS) spacetime. The renormalized expectation value of the stress-energy tensor operator for a massless, conformally coupled quantum scalar field on global AdS spacetime in four space-time dimensions acts as a source term on the right-hand side of the Einstein equations for the quantum-corrected metric. We solve the quantum-corrected Einstein equations numerically and find deviations from pure AdS which increase as the temperature of the quantum scalar field state increases. We interpret these quantum-corrected metrics as asymptotically AdS solitons, and study the mass of these solitons as a function of the temperature of the quantum scalar field.