AdS3 wormholes from a modular bootstrap
Jordan Cotler, Kristan Jensen
Abstract
A bstract In recent work we computed the path integral of three-dimensional gravity with negative cosmological constant on spaces which are topologically a torus times an interval. Here we employ a modular bootstrap to show that the amplitude is completely fixed by consistency conditions and a few basic inputs from gravity. This bootstrap is notably for an ensemble of CFTs, rather than for a single instance. We also compare the 3d gravity result with the Narain ensemble. The former is well-approximated at low temperature by a random matrix theory ansatz, and we conjecture that this behavior is generic for an ensemble of CFTs at large central charge with a chaotic spectrum of heavy operators.
Topics & Concepts
PhysicsWormholeTorusConjectureCentral chargeRandom matrixPath integral formulationTheoretical physicsChaoticCharge (physics)AmplitudeSpectrum (functional analysis)Modular designConstant (computer programming)Matrix (chemical analysis)Conformal mapBootstrap modelCosmological constantZero (linguistics)Work (physics)Statistical physicsModular invariancePath (computing)Conformal field theoryMathematical physicsConsistency (knowledge bases)Interpretation (philosophy)Current (fluid)Poincaré conjectureSequence (biology)String theoryOperator (biology)Classical mechanicsEffective actionAttractorGravitationSpectral densityM-theoryBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesCosmology and Gravitation Theories