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Journal of High Energy Physics
Article . 2023 . Peer-reviewed
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Journal of High Energy Physics
Article . 2023
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Pole-skipping points in 2D gravity and SYK model

Authors: Yuan, Haiming; Ge, Xian-Hui; Kim, Keun-Young; Ji, Chang-Woo; Ahn, Yong;

Pole-skipping points in 2D gravity and SYK model

Abstract

Abstract We represent the first investigation of pole-skipping on both the gravity and field theory sides. In contrast to the higher dimensional models, there is no momentum degree of freedom in (1 + 1)−dimensional bulk theory. Thus, we then consider a scalar field mass as our degree of freedom for the pole-skipping phenomenon instead of momentum. The pole-skipping frequencies of the scalar field in 2D gravity are the same as higher dimensional cases: ω = −i2πTn for positive integers n. At each of these frequencies, there is a corresponding pole-skipping mass, so the pole-skipping points exist in (ω, m) space. We also compute the pole-skipping points of the SYK model in (ω, h) space where h is the dimension of the bilinear primary operator. We find that there is a one-to-one correspondence of the pole-skipping points between the JT gravity and the SYK model. To obtain the pole-skipping points, we need to consider the parameter ϵ related to the chemical potential on the horizon of charged JT gravity and the particle-hole asymmetric parameter $$ \mathcal{E} $$ E of the complex SYK model as shift parameters. This highlights the ϵ − $$ \mathcal{E} $$ E correspondence in relation to pole-skipping phenomenon.

Related Organizations
Keywords

Analogues of general relativity in lower dimensions, High Energy Physics - Theory, gauge-gravity correspondence, Black Holes, holography and condensed matter physics (AdS/CMT), FOS: Physical sciences, QC770-798, Methods of quantum field theory in general relativity and gravitational theory, Relativistic gravitational theories other than Einstein's, including asymmetric field theories, black holes, Holography and Condensed Matter Physics (AdS/CMT), High Energy Physics - Theory (hep-th), Nuclear and particle physics. Atomic energy. Radioactivity, Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.), 2D gravity, Geometrodynamics and the holographic principle, 2D Gravity, Gauge-Gravity Correspondence

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Top 10%
Average
Top 10%
Green
Published in a Diamond OA journal