herpes zoster vs herpes virus

herpes zoster and herpes virus both are nouns.

Word	Noun	Adjective	Verb	Adverb
herpes zoster	Yes	No	No	No
herpes virus	Yes	No	No	No

As nouns, herpes virus is a hypernym of herpes zoster; that is, herpes virus is a word with a broader meaning than herpes zoster:

herpes zoster: a herpes virus that causes shingles
herpes virus: any of the animal viruses that cause painful blisters on the skin

Other hypernyms of herpes zoster include herpes.

herpes zoster (noun)	herpes virus (noun)
a herpes virus that causes shingles	any of the animal viruses that cause painful blisters on the skin
eruptions along a nerve path often accompanied by severe neuralgia