Piper nigrum vs pepper vine

Piper nigrum and pepper vine both are nouns.

Word	Noun	Adjective	Verb	Adverb
Piper nigrum	Yes	No	No	No
pepper vine	Yes	No	No	No

As nouns, pepper vine is a hypernym of Piper nigrum; that is, pepper vine is a word with a broader meaning than Piper nigrum:

Piper nigrum: climber having dark red berries (peppercorns) when fully ripe; southern India and Sri Lanka; naturalized in northern Burma and Assam
pepper vine: any of various shrubby vines of the genus Piper

Other hypernyms of Piper nigrum include true pepper.

Piper nigrum (noun)	pepper vine (noun)
climber having dark red berries (peppercorns) when fully ripe; southern India and Sri Lanka; naturalized in northern Burma and Assam	any of various shrubby vines of the genus Piper