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Fermionic pole-skipping in holography
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We examine thermal Green's functions of fermionic operators in quantum field theories with gravity duals. The calculations are performed on the gravity side using ingoing Eddington-Finkelstein coordinates. We find that at negative imaginary Matsubara frequencies and special values of the wavenumber, there are multiple solutions to the bulk equations of motion that are ingoing at the horizon and thus the boundary Green's function is not uniquely defined. At these points in Fourier space a line of poles and a line of zeros of the correlator intersect. We analyze these `pole-skipping' points in three-dimensional asymptotically anti-de Sitter spacetimes where exact Green's functions are known. We then generalize the procedure to higher-dimensional spacetimes. We also discuss the special case of a fermion with half-integer mass in the BTZ background. We discuss the implications and possible generalizations of the results.
Forward citations
Cited by 6 Pith papers
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High-Order Pole-Skipping in Near-Extremal Holography
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A Horizon-to-Boundary Dictionary Linking Smooth Horizon Continuation, Pole-Skipping, and \(SL(2,\mathbb R)\) Lowest-Weight Structure
Residual C∞ smoothness after removing the leading horizon prefactor selects the physical radial branch and is the bulk dual of boundary pole-skipping ambiguity.
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Pole-skipping without master variable and holographic superfluids
A master-variable-free matrix formalism for pole-skipping, applied to holographic superfluids, shows that the massless order parameter produces no new hydrodynamic pole-skipping point.
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Thermal field theory correlators in the large-$N$ limit and the spectral duality relation
The spectral duality relation, previously found for 3d CFTs and 4d black holes, is shown to hold for meromorphic thermal two-point correlators in any dimension and for correlators related by double-trace deformations,...
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