Reconstruction of the quasinormal spectrum from pole-skipping

Abstract

The holographic gauge/gravity duality provides an explicit reduction of quantum field theory (QFT) calculations in the semi-classical large-$N$ limit to sets of `gravitational' differential equations whose analysis can reveal all details of the spectra of thermal QFT correlators. We argue that in certain cases, a complete reconstruction of the spectrum and of the corresponding correlator is possible from only the knowledge of an infinite, discrete set of pole-skipping points traversed by a single (hydrodynamic) mode computed in a series expansion in an inverse number of spacetime dimensions. Conceptually, this reduces the computation of a QFT correlator spectrum to performing a set of purely algebraic manipulations. With the help of the pole-skipping analysis, we also uncover a novel structure underpinning the coefficients that enter the hydrodynamic dispersion relations.

10 pages, 1 figure

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Cited by in corpus (10)

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• Pole skipping in holographic theories with gauge and fermionic fields
• On pole-skipping with gauge-invariant variables in holographic axion theories
• Perturbing a quantum black hole
• Duality Constraints on Thermal Spectra of 3d Conformal Field Theories and 4d Quasinormal Modes
• Duality and four-dimensional black holes: gravitational waves, algebraically special solutions, pole skipping, and the spectral duality relation in holographic thermal CFTs
• Pole-skipping for massive fields and the Stueckelberg formalism
• Bulk Spacetime Encoding via Boundary Ambiguities
• The Algebraic Structure Underlying Pole-Skipping Points
• Thermal Diffusivity and Pole-Skipping in the Incoherent Semilocally Critical IR