Beccaria, Matteo; Jiang, Hongliang; Tseytlin, Arkady A. (2020). Boundary correlators in WZW model on AdS2. Journal of High Energy Physics, 2020(5) Springer 10.1007/JHEP05(2020)099

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Boundary correlators of elementary fields in some 2d conformal field theories defined on AdS2 have a particularly simple structure. For example, the correlators of the Liouville scalar happen to be the same as the correlators of the chiral component of the stress tensor on a plane restricted to the real line. Here we show that an analogous relation is true also in the WZW model: boundary correlators of the WZW scalars have the same structure as the correlators of chiral KacMoody currents. This is checked at the level of the tree and oneloop Witten diagrams in AdS2. We also compute some treelevel correlators in a generic σmodel defined on AdS2 and show that they simplify only in the WZW case where an extra KacMoody symmetry appears. In particular, the terms in 4 point correlators having logarithmic dependence on 1d crossratio cancel only at the WZW point. One motivation behind this work is to learn how to compute AdS2 loop corrections in 2d models with derivative interactions related to the study of correlators of operators on Wilson loops in string theory in AdS.
Item Type: 
Journal Article (Original Article) 

Division/Institute: 
10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC) 08 Faculty of Science > Institute of Theoretical Physics 
UniBE Contributor: 
Jiang, Hongliang 
Subjects: 
500 Science > 530 Physics 
ISSN: 
10298479 
Publisher: 
Springer 
Language: 
English 
Submitter: 
Esther Fiechter 
Date Deposited: 
02 Jul 2020 07:58 
Last Modified: 
02 Jul 2020 07:58 
Publisher DOI: 
10.1007/JHEP05(2020)099 
ArXiv ID: 
2001.11269 
BORIS DOI: 
10.7892/boris.144964 
URI: 
https://boris.unibe.ch/id/eprint/144964 