Beccaria, Matteo; Jiang, Hongliang; Tseytlin, Arkady A. (2019). Nonabelian Toda theory on AdS₂ and AdS₂/CFT₂1/2 duality. Journal of High Energy Physics, 2019(9) Springer 10.1007/s1313001911219y

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It was recently observed that boundary correlators of the elementary scalar field of the Liouville theory on AdS₂ background are the same (up to a nontrivial proportionality coefficient) as the correlators of the chiral stress tensor of the Liouville CFT on the complex plane restricted to the real line. The same relation generalizes to the conformal abelian Toda theory: boundary correlators of Toda scalars on AdS₂ are directly related to the correlation functions of the chiral Wsymmetry generators in the Toda CFT and thus are essentially controlled by the underlying infinitedimensional symmetry. These may be viewed as examples of AdS₂/CFT₁ duality where the CFT₁ is the chiral half of a 2d CFT; we shall refer to this as AdS₂/CFT1/2. In this paper we demonstrate that this 2 duality applies also to the nonabelian Toda theory containing a Liouville scalar coupled to a 2d σmodel originating from the SL(2, R)/U(1) gauged WZW model. Here the Liouville scalar is again dual to the chiral stress tensor T while the other two scalars are dual to the parafermionic operators V ± of the nonabelian Toda CFT. We explicitly check the duality at the nexttoleading order in the large central charge expansion by matching the chiral CFT correlators of (T, V ⁺, V ⁻) (computed using a free field representation) with the boundary correlators of the three Toda scalars given by the treelevel and oneloop Witten diagrams in AdS₂.
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: 
05 Feb 2020 10:44 
Last Modified: 
05 Feb 2020 10:44 
Publisher DOI: 
10.1007/s1313001911219y 
ArXiv ID: 
1907.01357 
BORIS DOI: 
10.7892/boris.139637 
URI: 
https://boris.unibe.ch/id/eprint/139637 