2022
DOI: 10.48550/arxiv.2208.01047
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Pole skipping in holographic theories with bosonic fields

Diandian Wang,
Zi-Yue Wang

Abstract: We study the phenomenon of pole-skipping in holographic CFTs dual to diffeomorphism invariant theories containing an arbitrary number of bosonic fields in the large N limit. Defining a weight to organize the bulk equations of motion and field components, a set of general pole-skipping conditions are derived. In particular, the frequencies simply follow from general covariance and weight matching. Relating the highest-weight pole-skipping frequency to an exponential growth rate, i.e., the Lyapunov exponent, we … Show more

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“…The absence of a unique incoming mode at the black hole horizon leads to the nonuniqueness of the Green's function on the boundary. For the static black holes, the leading pole-skipping frequency ω is known as [13][14][15][23][24][25][26][27][28] ω = 2πiT (s − 1), (1.2) where i is the imaginary unit, and s denotes the spin of the operator. In the maximally chaotic systems, the Lyapunov exponent λ and the butterfly velocity v B can be extracted from the leading pole-skipping point of the metric fluctuation (s = 2) [10,11,29,30].…”
Section: Introductionmentioning
confidence: 99%
“…The absence of a unique incoming mode at the black hole horizon leads to the nonuniqueness of the Green's function on the boundary. For the static black holes, the leading pole-skipping frequency ω is known as [13][14][15][23][24][25][26][27][28] ω = 2πiT (s − 1), (1.2) where i is the imaginary unit, and s denotes the spin of the operator. In the maximally chaotic systems, the Lyapunov exponent λ and the butterfly velocity v B can be extracted from the leading pole-skipping point of the metric fluctuation (s = 2) [10,11,29,30].…”
Section: Introductionmentioning
confidence: 99%