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Spectral flow and the conformal block expansion for strings in AdS3
Article
Date:
2024Publishing House and Editing Place:
Springer Science and Business Media Deutschland GmbHMagazine:
JOURNAL OF HIGH ENERGY PHYSICS - (Online), vol. 2024 Springer Science and Business Media Deutschland GmbHSummary *
We present a detailed study of spectrally flowed four-point functions in theSL(2,R) WZW model, focusing on their conformal block decomposition. Dei and Eberhardtconjectured a general formula relating these observables to their unflowed counterparts.Although the latter are not known in closed form, their conformal block expansion hasbeen formally established. By combining this information with the integral transform thatencodes the effect of spectral flow, we show how to describe a considerable number of schannel exchanges, including cases with both flowed and unflowed intermediate states. Forall such processes, we compute the normalization of the corresponding conformal blocks interms of products of the recently derived flowed three-point functions with arbitrary spectralflow charges. Our results constitute a highly non-trivial consistency check, thus stronglysupporting the aforementioned conjecture, and establishing its computational power. Information provided by the agent in SIGEVAKey Words
AdS CFT CorrespondenceLong stringsString TheoryConformal blockCFT