Diuretics, such as acetazolamide, are used in Cluster Headache management by reducing cerebrospinal fluid production through carbonic anhydrase inhibition, which can help modulate intracranial pressure and potentially interrupt the neurological mechanisms underlying cluster headache episodes. By decreasing sodium and water reabsorption in the kidneys and altering pH, these medications can provide prophylactic relief and potentially reduce the frequency and intensity of cluster headache attacks.