Pole-skipping and zero temperature

Abstract

We study the pole-skipping phenomenon of the scalar retarded Green's function in the rotating BTZ black hole background. In the static case, the pole-skipping points are typically located at negative imaginary Matsubara frequencies $\omega =-(2\pi T)ni$ with appropriate values of complex wave number $q$. But, in a $(1+1)$-dimensional CFT, one can introduce temperatures for left-moving and right-moving sectors independently. As a result, the pole-skipping points $\omega$ depend both on left and right temperatures in the rotating background. In the extreme limit, the pole-skipping does not occur in general. But in a special case, the pole-skipping does occur even in the extreme limit, and the pole-skipping points are given by right Matsubara frequencies.

16 pages, ReVTeX4.2; v2: several clarifications, published version

References in corpus (33)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• The Black Hole in Three Dimensional Space Time
• A bound on chaos
• Geometry of the 2+1 Black Hole
• Black holes and the butterfly effect
• AdS/CFT Correspondence and Symmetry Breaking
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Localized shocks
• Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes
• Two-dimensional conformal field theory and the butterfly effect
• Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
• Wave Propagation in Gravitational Systems: Late Time Behavior
• Black hole scrambling from hydrodynamics
• Many-body chaos and energy dynamics in holography
• The complex life of hydrodynamic modes
• Effective Field Theory for Chaotic CFTs
• On the connection between hydrodynamics and quantum chaos in holographic theories with stringy corrections
• Horizon constraints on holographic Green's functions
• Complexified quasinormal modes and the pole-skipping in a holographic system at finite chemical potential
• Scrambling in Hyperbolic Black Holes: shock waves and pole-skipping
• On the Chaos Bound in Rotating Black Holes
• Chaos in the butterfly cone
• Quasinormal modes in charged fluids at complex momentum
• Pole-skipping with finite-coupling corrections
• Quantum Chaos in Topologically Massive Gravity
• Classifying pole-skipping points
• Fermionic pole-skipping in holography
• Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography
• Holographic chaos, pole-skipping, and regularity
• Higher curvature corrections to pole-skipping
• Isolated zeros destroy Fermi surface in holographic models with a lattice
• Rotating Black Holes in AdS, Extremality and Chaos

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