Imperial College London
Alternate

ProfessorArkadyTseytlin

Faculty of Natural Sciences, Department of Physics

Professor of Theoretical Physics
 
 
 
//

Contact

 

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

 
 
//

Location

 

685Huxley BuildingSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@article{Beccaria:2019:10.1007/JHEP11(2019)051,
author = {Beccaria, M and Jiang, H and Tseytlin, AA},
doi = {10.1007/JHEP11(2019)051},
journal = {The Journal of High Energy Physics},
pages = {1--44},
title = {Supersymmetric Liouville theory in AdS(2) and AdS/CFT},
url = {http://dx.doi.org/10.1007/JHEP11(2019)051},
volume = {2019},
year = {2019}
}
Download

RIS format (EndNote, RefMan)

TY  - JOUR
AB  - In a series of recent papers, a special kind of AdS2/CFT1 duality was observed: the boundary correlators of elementary fields that appear in the Lagrangian of a 2d conformal theory in rigid AdS2 background are the same as the correlators of the corresponding primary operators in the chiral half of that 2d CFT in flat space restricted to the real line. The examples considered were: (i) the Liouville theory where the operator dual to the Liouville scalar in AdS2 is the stress tensor; (ii) the abelian Toda theory where the operators dual to the Toda scalars are the W -algebra generators; (iii) the non-abelian Toda theory where the Liouville field is dual to the stress tensor while the extra gauged WZW theory scalars are dual to non-abelian parafermionic operators. By direct Witten diagram com- putations in AdS2 one can check that the structure of the boundary correlators is indeed consistent with the Virasoro (or higher) symmetry. Here we consider a supersymmetric generalization: the N = 1 superconformal Liouville theory in AdS2. We start with the super Liouville theory coupled to 2d supergravity and show that a consistent restriction to rigid AdS2 background requires a non-zero value of the supergravity auxiliary field and thus a modification of the Liouville potential from its familiar flat-space form. We show that the Liouville scalar and its fermionic partner are dual to the chiral half of the stress tensor and the supercurrent of the super Liouville theory on the plane. We perform tests supporting the duality by explicitly computing AdS2 Witten diagrams with bosonic and fermionic loops.
AU  - Beccaria,M
AU  - Jiang,H
AU  - Tseytlin,AA
DO  - 10.1007/JHEP11(2019)051
EP  - 44
PY  - 2019///
SN  - 1029-8479
SP  - 1
TI  - Supersymmetric Liouville theory in AdS(2) and AdS/CFT
T2  - The Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/JHEP11(2019)051
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000497765300001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://link.springer.com/article/10.1007%2FJHEP11%282019%29051
UR  - http://hdl.handle.net/10044/1/80388
VL  - 2019
ER  -
Download