Gravitational Wilson lines in 3D de Sitter
Alejandra Castro, Philippe Sabella-Garnier, Claire Zukowski
Abstract
A bstract We construct local probes in the static patch of Euclidean dS 3 gravity. These probes are Wilson line operators, designed by exploiting the Chern-Simons formulation of 3D gravity. Our prescription uses non-unitary representations of so (4) ≃ su (2) L × su (2) R , and we evaluate the Wilson line for states satisfying a singlet condition. We discuss how to reproduce the Green’s functions of massive scalar fields in dS 3 , the construction of bulk fields, and the quasinormal mode spectrum. We also discuss the interpretation of our construction in Lorentzian signature in the inflationary patch, via SL(2 , ℂ) Chern-Simons theory.
Topics & Concepts
PhysicsZero modeMathematical physicsSupergravityEuclidean geometryAnti-de Sitter spaceGravitationTheoretical physicsScalar (mathematics)De Sitter universeInterpretation (philosophy)Formalism (music)Scalar fieldSignature (topology)Line (geometry)Quasinormal modeQuantum mechanicsBlack hole (networking)Classical mechanicsCompactification (mathematics)GravitonQuantum electrodynamicsReal lineGravitational waveCoupling (piping)De Sitter spaceMode (computer interface)BraneWKB approximationCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity Theories