Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography
Yongjun Ahn, Viktor Jahnke, Hyun-Sik Jeong, Keun-Young Kim, Kyung-Sun Lee, Mitsuhiro Nishida
Abstract
A bstract Motivated by the recent connection between pole-skipping phenomena of two point functions and four point out-of-time-order correlators (OTOCs), we study the pole structure of thermal two-point functions in d -dimensional conformal field theories (CFTs) in hyperbolic space. We derive the pole-skipping points of two-point functions of scalar and vector fields by three methods (one field theoretic and two holographic methods) and confirm that they agree. We show that the leading pole-skipping point of two point functions is related with the late time behavior of conformal blocks and shadow conformal blocks in four-point OTOCs.
Topics & Concepts
PhysicsConformal mapScalar (mathematics)HolographyScalar fieldConnection (principal bundle)Conformal field theoryMathematical physicsPoint (geometry)Vector fieldPrimary fieldField (mathematics)Conformal symmetryTheoretical physicsClassical mechanicsFixed pointShadow (psychology)Weyl transformationQuantum electrodynamicsSpacetimeScalar field theoryBoundary conformal field theoryThermalAnti-de Sitter spaceHorizonQuantum field theoryField theory (psychology)Conformal anomalyBlack Holes and Theoretical PhysicsQuantum Electrodynamics and Casimir EffectCosmology and Gravitation Theories