What everyone will tell you now is to focus on you. She is now on her own path. You cannot control her. All you can control is yourself.
Can you share a bit more about what led up to the BD? What was your R like in the earluy days, and what was it like more recently?
Follow Sandi's rules. Work out what you want to do about you? What improvements can you make. Were there any valid issues buried in the complaints from your wife? Can you work on those. What sort of GAL activities do you have? Do you want to try some new ones?
What sort of father are you? Hands on, or working hard and struggling to see the kids enough (like me)
You have to be the best you and the best dad you can be. A wayward spouse is very often unstable. You will have to be the rock for your children.
Nothing you have said or done cannot be undone.
What do you want? If you don't want to divorce her, then don't do anything to progress it. Let your wife do the work.
If you don't want to move out - say you have changed your mind.
Your wife is not the person she was before. Your marriage as it was before is now over. It *may* be possible to build a new relationship and new marriage with your wife.
There are no instant fixes. As Cadet says, patience is the key. There are people on this forum who have been here years. You will soon be into months of hard work. And it is hard work.
You will get lots of good advice. Follow it if you can.
-- Me: 47 WW: 35 SS: 17 D: 5 T: 7 yrs Engaged: 2 yrs OEA confirmed: August 17 2016 ongoing since April 2016. OEA continues (with occasional breaks) BD2 - W says will visit OM in Jan 18