Kinematic signatures of planet-disk interactions in VSI-turbulent protoplanetary disks

Context. Planets are thought to form inside weakly ionized regions of protoplanetary disks, where turbulence creates ideal conditions for solid growth. However, the nature of this turbulence is still uncertain. In this zone, vertical shear instability (VSI) can operate, inducing a low level of gas turbulence and large-scale motions. Resolving kinematic signatures of VSI may reveal the origin of turbulence in planet-forming disks. However, an exploration of kinematic signatures of the interplay between VSI and forming planets is needed for a correct interpretation of radio interferometric observations. Robust detection of VSI would lead to a deeper understanding of the impact of gas turbulence on planet formation. Aims. The goal of this study is to explore the effect of VSI on the disk substructures triggered by an embedded massive planet. We focus on the impact of this interplay on CO kinematic observations with ALMA. Methods. We conduct global 3D hydrodynamical simulations of VSI-unstable disks with and without embedded massive planets, exploring Saturn- and Jupiter-mass cases. We study the effect of planets on the VSI gas dynamics, comparing with viscous disks. Post-processing the simulations with a radiative transfer code, we examine the kinematic signatures expected in CO molecular line emission, varying disk inclination. Further, we simulate ALMA high-resolution observations to test the observability of VSI and planetary signatures. Results. The embedded planet dampens the VSI along a radial region, most effective at the disk midplane. For the Saturn case, the VSI modes are distorted by the planet's spirals producing mixed kinematic signatures. For the Jupiter case, the planet's influence dominates the disk gas kinematics. Conclusions. The presence of massive embedded planets can weaken the VSI large-scale gas flows, limiting its observability in CO kinematic observations.