Résumé |
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 by Eberhardt and Dei. In this talk, I will review the recent developments leading to this proposal,
based on the role of holomorphic covering maps from the string worldsheet to the AdS boundary, and further
provide a proof, which was published recently in [2212.05877]. If time allows, I will show how this can be used
to extend the exact holographic matching of chiral primary three-point functions to arbitrary spectral flow
sectors in the supersymmetric model, and briefly touch upon on-going work related to four-point functions in
this context. |