The correct answer is Subthalamic nucleus. Hemiballismus is a type of movement disorder characterized by wild, flailing movements of one limb. It is caused by damage to the subthalamic nucleus, a small nucleus located in the diencephalon, which is involved in regulating movement. When the subthalamic nucleus is damaged, it can disrupt the normal balance of excitatory and inhibitory signals to the basal ganglia, leading to the uncontrolled movements seen in hemiballismus.