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A proof for string three-point functions in AdS3.
- Source :
- Journal of High Energy Physics; Feb2023, Vol. 2023 Issue 2, p1-25, 25p
- Publication Year :
- 2023
-
Abstract
- 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<subscript>3</subscript>/CFT<subscript>2</subscript> holographic duality at finite ’t Hooft coupling. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2023
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 162150582
- Full Text :
- https://doi.org/10.1007/JHEP02(2023)246