Quantum-corrected three-dimensional AdS space-time

Abstract: We study the backreaction of a quantum scalar field on anti-de Sitter (AdS) space-time. The renormalized expectation value of the stress-energy tensor operator (RSET) for a quantum scalar field acts as a source term on the right-hand-side of the Einstein equations for the quantum-corrected metric. We find the RSET for a nonrotating thermal state on global AdS in three dimensions and compare this with results from relativistic kinetic theory. We then solve the linearized quantum-corrected Einstein equations. We interpret these quantum-corrected metrics as asymptotically-AdS solitons.