Supersymmetric Liouville theory in AdS(2) and AdS/CFT
File(s)
Published version
Author(s)
Beccaria, Matteo
Jiang, Hongliang
Tseytlin, Arkady A
Type
Journal Article
Abstract
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.
Date Issued
2019-11-11
Date Acceptance
2019-10-30
Citation
The Journal of High Energy Physics, 2019, 2019 (11), pp.1-44
ISSN
1029-8479
Publisher
Springer Verlag (Germany)
Start Page
1
End Page
44
Journal / Book Title
The Journal of High Energy Physics
Volume
2019
Issue
11
Copyright Statement
This article is distributed under the terms of the Creative Commons
Attribution License (CC-BY 4.0) (https://creativecommons.org/licenses/by/4.0/), which permits any use, distribution and reproduction in
any medium, provided the original author(s) and source are credited.
Attribution License (CC-BY 4.0) (https://creativecommons.org/licenses/by/4.0/), which permits any use, distribution and reproduction in
any medium, provided the original author(s) and source are credited.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000497765300001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
AdS-CFT Correspondence
Supersymmetry and Duality
4-POINT FUNCTIONS
QUANTUM GEOMETRY
FEYNMAN-RULES
RENORMALIZATION
SUPERGRAVITY
EXCHANGE
BREAKING
Publication Status
Published
Article Number
ARTN 051
Date Publish Online
2019-11-11