Chicken Pox for adults is known as Shingles which is far nastier than Chicken Pox.
No, chicken pox for adults is known as chicken pox. In my 30s, my eldest toddler got chicken pox, then a week or two later my youngest toddler got chicken pox. Then a week or two later I got chicken pox. I had never had it as a kid, so I got it as an adult. It was standard chicken pox, and I was off work for 2.5 weeks.
My wife got shingles when she was pregnant with our first child. She had had chicken pox as a child, so she was the only one to miss out when our household had its chicken pox epidemic.
So chicken pox for adults is chicken pox - these are adults who never had chicken pox before. Shingles is for adults who had chicken pox as a child.