Eigenbranes in Jackiw-Teitelboim gravity
Andreas Blommaert, Thomas G. Mertens, Henri Verschelde
Abstract
A bstract It was proven recently that JT gravity can be defined as an ensemble of L × L Hermitian matrices. We point out that the eigenvalues of the matrix correspond in JT gravity to FZZT-type boundaries on which spacetimes can end. We then investigate an ensemble of matrices with 1 ≪ N ≪ L eigenvalues held fixed. This corresponds to a version of JT gravity which includes N FZZT type boundaries in the path integral contour and which is found to emulate a discrete quantum chaotic system. In particular this version of JT gravity can capture the behavior of finite-volume holographic correlators at late times, including erratic oscillations.
Topics & Concepts
PhysicsQuantum gravityEigenvalues and eigenvectorsHermitian matrixMathematical physicsSemiclassical gravityEuclidean quantum gravityPath integral formulationClassical mechanicsHolographyf(R) gravityMatrix (chemical analysis)Point (geometry)Type (biology)ChaoticHořava–Lifshitz gravityTheoretical physicsQuantumMethods of contour integrationGravitationSpin foamEntropic gravityPath (computing)Loop quantum gravityStrong gravityRandom matrixMicrocanonical ensembleBlack Holes and Theoretical PhysicsQuantum Mechanics and Non-Hermitian PhysicsNoncommutative and Quantum Gravity Theories