Pole-skipping of holographic correlators: aspects of gauge symmetry and generalizations

A bstract In the framework of anti-de Sitter space/conformal field theory (AdS/CFT), we study the pole-skipping phenomenon of the holographic correlators of boundary operators. We explore the locations of the pole-skipping points case by case with the U(1)-gauged form models in the asymptotic AdS bu...

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Bibliographic Details
Published in:The journal of high energy physics 2023-01, Vol.2023 (1), p.174-28, Article 174
Main Authors: Wang, Yuan-Tai, Pan, Wen-Bin
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Broken symmetry
Classical and Quantum Gravitation
Computation
Correlators
Divergence
Elementary Particles
Field theory
Gauge Symmetry
High energy physics
Holography
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Renormalization and Regularization
String Theory
Symmetry
Wave dispersion
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Summary:A bstract In the framework of anti-de Sitter space/conformal field theory (AdS/CFT), we study the pole-skipping phenomenon of the holographic correlators of boundary operators. We explore the locations of the pole-skipping points case by case with the U(1)-gauged form models in the asymptotic AdS bulk of finite temperature. In general, in different cases all the points are located at the Matsubara frequencies with corresponding wave vectors dispersed in the momentum space, displaying different types of patterns. Specifically, in the massless cases with U(1) symmetry, the wave vectors of the pole-skipping points have a form-number dependence, and a trans-mode equivalence in the dual fields is found in correspondence with electromagnetic duality. In the massive cases with explicit symmetry breaking, the points degenerate to be independent of the form number. We expect in such kind of pole-skipping properties implications of distinctive physics in the chaotic systems. These properties are further examined by higher-order computation, which provides a more complete pole-skipping picture. Our near-horizon computation is verified with the double-trace method especially in the example of 2-form where there is dimension-dependent boundary divergence. We illustrate in these cases that the pole-skipping properties of the holographic correlators are determined by the IR physics, consistent with the ordinary cases in previous studies.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2023)174