Imperial College London
Alternate

ProfessorArkadyTseytlin

Faculty of Natural Sciences, Department of Physics

Professor of Theoretical Physics
 
 
 
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Contact

 

+44 (0)20 7594 1890a.tseytlin Website

 
 
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Location

 

685Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Beccaria:2019:10.1007/s13130-019-11219-y,
author = {Beccaria, M and Jiang, H and Tseytlin, AA},
doi = {10.1007/s13130-019-11219-y},
journal = {The Journal of High Energy Physics},
pages = {1--42},
title = {Non-abelian Toda theory on AdS(2) and AdS(2)/CFT21/2 duality},
url = {http://dx.doi.org/10.1007/s13130-019-11219-y},
volume = {36},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - 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 non-trivial 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    -symmetry generators in the Toda CFT and thus are essentially controlled by the underlying infinite-dimensional symmetry. These may be viewed as examples of AdS2/CFT1 duality where the CFT1 is the chiral half of a 2d CFT; we shall to this as   AdS2/CFT1/22 . In this paper we demonstrate that this duality applies also to the non-abelian Toda theory containing a Liouville scalar coupled to a 2d σ-model originating from the SL(2, )/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 non-abelian Toda CFT. We explicitly check the duality at the next-to-leading 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 tree-level and one-loop Witten diagrams in AdS2.
AU  - Beccaria,M
AU  - Jiang,H
AU  - Tseytlin,AA
DO  - 10.1007/s13130-019-11219-y
EP  - 42
PY  - 2019///
SN  - 1029-8479
SP  - 1
TI  - Non-abelian Toda theory on AdS(2) and AdS(2)/CFT21/2 duality
T2  - The Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/s13130-019-11219-y
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000485014100001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://link.springer.com/article/10.1007%2Fs13130-019-11219-y
UR  - http://hdl.handle.net/10044/1/73771
VL  - 36
ER  -
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