A proof for string three-point functions in AdS3
Davide Bufalini, Sergio Iguri, Nicolás Kovensky
Abstract
A bstract Correlation functions of the SL(2,ℝ)-WZW model involving spectrally flowed vertex operators are notoriously difficult to compute. An explicit integral expression for the corresponding three-point functions was recently conjectured in [1]. In this paper, we provide a proof for this conjecture. For this, we extend the methods of [2] based on the so-called SL(2,ℝ) series identifications, which relate vertex operators belonging to different spectral flow sectors. We also highlight the role of holomorphic covering maps in this context. Our results constitute an important milestone for proving this instance of the AdS 3 /CFT 2 holographic duality at finite ’t Hooft coupling.
Topics & Concepts
PhysicsVertex (graph theory)Holomorphic functionConjectureString theoryDuality (order theory)Context (archaeology)String (physics)Pure mathematicsMathematical physicsTheoretical physicsCombinatoricsMathematicsGraphBiologyPaleontologyBlack Holes and Theoretical PhysicsAlgebraic Geometry and Number TheoryAdvanced Algebra and Geometry