Recurrence relations for finite-temperature correlators via AdS(2)/CFT1
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F13%3A00212778" target="_blank" >RIV/68407700:21340/13:00212778 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/JHEP12(2013)011" target="_blank" >http://dx.doi.org/10.1007/JHEP12(2013)011</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/JHEP12(2013)011" target="_blank" >10.1007/JHEP12(2013)011</a>
Alternative languages
Result language
angličtina
Original language name
Recurrence relations for finite-temperature correlators via AdS(2)/CFT1
Original language description
This note is aimed at presenting a new algebraic approach to momentum-space correlators in conformal field theory. As an illustration we present a new Lie-algebraic method to compute frequency-space two-point functions for charged scalar operators of CFT1 dual to AdS(2) black hole with constant background electric field. Our method is based on the real-time prescription of AdS/CFT correspondence, Euclideanization of AdS(2) black hole and projective unitary representations of the Lie algebra sl(2, R) circle plus sl(2, R). We derive novel recurrence relations for Euclidean CFT1 two-point functions, which are exactly solvable and completely determine the frequency-and charge-dependences of two-point functions. Wick-rotating back to Lorentzian signature, we obtain retarded and advanced CFT1 two-point functions that are consistent with the known results.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/EE2.3.30.0034" target="_blank" >EE2.3.30.0034: Support of inter-sectoral mobility and quality enhancement of research teams at Czech Technical University in Prague</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
JOURNAL OF HIGH ENERGY PHYSICS
ISSN
1029-8479
e-ISSN
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Volume of the periodical
2013
Issue of the periodical within the volume
12
Country of publishing house
US - UNITED STATES
Number of pages
15
Pages from-to
1-15
UT code for WoS article
000328894000006
EID of the result in the Scopus database
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