A one-loop test of the near-AdS2/near-CFT1 correspondence
Anthony M. Charles, Finn Larsen
Abstract
A bstract We analyze quantum fluctuations around black hole solutions to the Jackiw-Teitelboim model. We use harmonic analysis on Euclidean AdS 2 to show that the logarithmic corrections to the partition function are determined entirely by quadratic holomorphic differentials, even when conformal symmetry is broken and harmonic modes are no longer true zero modes. Our quantum-corrected partition function agrees precisely with the SYK result. We argue that our effective quantum field theory methods and results generalize to other theories of two-dimensional dilaton gravity.
Topics & Concepts
Partition function (quantum field theory)Mathematical physicsConformal field theoryLogarithmPhysicsQuantum gravityConformal mapEuclidean geometryHolomorphic functionQuantum field theoryDilatonQuantumQuantum mechanicsMathematicsPure mathematicsMathematical analysisGeometryBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories