Time-periodicities in holographic CFTs

A bstract Dynamics in AdS spacetimes is characterized by various time-periodicities. The most obvious of these is the time-periodic evolution of linearized fields, whose normal frequencies form integer-spaced ladders as a direct consequence of the structure of representations of the conformal group....

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Bibliographic Details
Published in:The journal of high energy physics 2021-09, Vol.2021 (9), p.1-49, Article 30
Main Authors: Craps, Ben, De Clerck, Marine, Evnin, Oleg
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Black holes
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Holography
Integrable Field Theories
Ladders
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scalars
Spacetime
String Theory
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Summary:A bstract Dynamics in AdS spacetimes is characterized by various time-periodicities. The most obvious of these is the time-periodic evolution of linearized fields, whose normal frequencies form integer-spaced ladders as a direct consequence of the structure of representations of the conformal group. There are also explicitly known time-periodic phenomena on much longer time scales inversely proportional to the coupling in the weakly nonlinear regime. We ask what would correspond to these long time periodicities in a holographic CFT, provided that such a CFT reproducing the AdS bulk dynamics in the large central charge limit has been found. The answer is a very large family of multiparticle operators whose conformal dimensions form simple ladders with spacing inversely proportional to the central charge. We give an explicit demonstration of these ideas in the context of a toy model holography involving a ϕ 4 probe scalar field in AdS, but we expect the applicability of the underlying structure to be much more general.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2021)030