Quantum chaos and pole skipping in two-dimensional conformal perturbation theory

We analyze pole skipping in two-dimensional field theories perturbed away from conformality by a relevant deformation. The leading-order correction to the retarded Green's function can be formally computed in conformal perturbation theory, though it results in singular expressions. We suggest a natural interpretation of these expressions and compute the resulting Green's function to leading nontrivial order in the deformation. As a check of our results, we compare the skipped poles we find to the butterfly velocity obtained from a holographic gravitational dual perturbed by a massive scalar field; we find precise agreement. We comment on extensions to subleading order, where agreement with holographic expectations would no longer be expected.