
arXiv: 2303.04801
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.
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
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
| 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). | 8 | |
| 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. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |
