hot up vs deepen

hot up and deepen both are verbs.

Word	Noun	Adjective	Verb	Adverb
hot up	No	No	Yes	No
deepen	No	No	Yes	No

As verbs, deepen is a hypernym of hot up; that is, deepen is a word with a broader meaning than hot up:

Other hypernyms of hot up include compound, heighten, intensify.

hot up (verb)	deepen (verb)
make more powerful	become more intense
make more intense	make more intense, stronger, or more marked
gain heat or get hot	become deeper in tone
	make deeper