Step 1: A persistent delusional disorder is defined by a long-standing, encapsulated false belief that the person holds despite contrary evidence, while the rest of mental functioning stays largely intact.
Step 2: Clinicians classify these delusions by their theme. The themes seen are persecutory, jealous (Othello), erotomanic, grandiose, somatic, and mixed varieties.
Step 3: Epidemiological data place the persecutory theme at the top of the list as the single most frequently encountered presentation, in which the individual is convinced of being targeted, harmed, or plotted against.
Step 4: By comparison, somatic, jealous, and grandiose themes are each less common, so they cannot be the correct response.
$ \text{Persecutory theme} = \text{highest frequency} $
\[\boxed{\text{Delusion of persecution}}\]