Fermionic pole-skipping in holography

Understand

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.