Pole skipping in holographic theories with gauge and fermionic fields

Abstract

Using covariant expansions, recent work showed that pole skipping happens in general holographic theories with bosonic fields at frequencies $\mathrm{i}(l_b-s)2\pi T$, where $l_b$ is the highest integer spin in the theory and $s$ takes all positive integer values. We revisit this formalism in theories with gauge symmetry and upgrade the pole-skipping condition so that it works without having to remove the gauge redundancy. We also extend the formalism by incorporating fermions with general spins and interactions and show that their presence generally leads to a separate tower of pole-skipping points at frequencies $\mathrm{i}(l_f-s)2\pi T$, $l_f$ being the highest half-integer spin in the theory and $s$ again taking all positive integer values. We also demonstrate the practical value of this formalism using a selection of examples with spins $0,\frac{1}{2},1,\frac{3}{2},2$.

42 pages; v2: matches published version

References in corpus (28)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• Real-time response in AdS/CFT with application to spinors
• Complexified quasinormal modes and the pole-skipping in a holographic system at finite chemical potential
• Bounds on transport from univalence and pole-skipping
• Quasinormal modes in charged fluids at complex momentum
• Quantum Chaos in Topologically Massive Gravity
• Classifying pole-skipping points
• On systems of maximal quantum chaos
• Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography
• Bound of diffusion constants from pole-skipping points: spontaneous symmetry breaking and magnetic field
• Pole-skipping and Rarita-Schwinger fields
• Pole-skipping and zero temperature
• Pole skipping in holographic theories with bosonic fields
• Constraints on quasinormal modes and bounds for critical points from pole-skipping
• Pole skipping away from maximal chaos
• Pole skipping and chaos in anisotropic plasma: a holographic study
• Chaos and pole-skipping in a simply spinning plasma
• Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
• Pole-skipping points in 2D gravity and SYK model
• Analogue of the pole-skipping phenomenon in acoustic black holes
• Pole-Skipping in Rotating BTZ Black Holes
• Reconstruction of the quasinormal spectrum from pole-skipping
• Construction of bulk solutions for towers of pole-skipping points
• A Tale of Two Butterflies: An Exact Equivalence in Higher-Derivative Gravity
• Effective description of sub-maximal chaos: stringy effects for SYK scrambling
• Regge conformal blocks from the Rindler-AdS black hole and the pole-skipping phenomena

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• Quantum chaos in the presence of non-conformality
• Pole-skipping for massive fields and the Stueckelberg formalism
• Bulk Spacetime Encoding via Boundary Ambiguities
• The Algebraic Structure Underlying Pole-Skipping Points
• Probing Stringy Horizons with Pole-Skipping in Non-Maximal Chaotic Systems
• Higher-spin localized shocks