Wiktionary
hot up
vb. 1 To heat up: 2 # (context British English) To increase in temperature. 3 # (context idiomatic English) To become more heated. 4 # To make or become more sexually appealing, enticing or exciting.(attention en based on the citations it would seem that this definition may need to be tweaked)
WordNet
Usage examples of "hot up".
If I'm any judge of character, I'd say the Jitterbug Club shooting event should just be starting to hot up.