common pepper vs pepper vine

common pepper and pepper vine both are nouns.

Word	Noun	Adjective	Verb	Adverb
common pepper	Yes	No	No	No
pepper vine	Yes	No	No	No

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

common pepper: 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 common pepper include true pepper.

common pepper (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