A proof for string three-point functions in AdS3
A proof for string three-point functions in AdS3
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.
AdS-CFT Correspondence, Conformal Field Models in String Theory, Long Strings
Bufalini, Davide
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Iguri, Sergio
8b362c8e-63cf-446c-9fc0-004a2a2d028b
Kovensky, Nicolas
6fdce7c8-51ce-4d21-8223-e16bd1a182c8
27 February 2023
Bufalini, Davide
080bddc8-5622-49bf-9b6c-86323a08bc53
Iguri, Sergio
8b362c8e-63cf-446c-9fc0-004a2a2d028b
Kovensky, Nicolas
6fdce7c8-51ce-4d21-8223-e16bd1a182c8
Bufalini, Davide, Iguri, Sergio and Kovensky, Nicolas
(2023)
A proof for string three-point functions in AdS3.
Journal of High Energy Physics, 2023 (2), [246].
(doi:10.1007/JHEP02(2023)246).
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 3/CFT 2 holographic duality at finite ’t Hooft coupling.
Text
2212.05877
- Accepted Manuscript
Text
JHEP02(2023)246
- Version of Record
More information
Accepted/In Press date: 1 February 2023
Published date: 27 February 2023
Keywords:
AdS-CFT Correspondence, Conformal Field Models in String Theory, Long Strings
Identifiers
Local EPrints ID: 482015
URI: http://eprints.soton.ac.uk/id/eprint/482015
ISSN: 1126-6708
PURE UUID: 726e9be7-f8f8-4fd0-b851-1f1a752b808b
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Date deposited: 15 Sep 2023 16:33
Last modified: 17 Mar 2024 04:37
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Contributors
Author:
Davide Bufalini
Author:
Sergio Iguri
Author:
Nicolas Kovensky
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