Welcome to the forum.
I've been in your situation it wasn't a wife. Was a GF. She was dancing with another guy at a bar one night which sounds more extreme than what your wife is doing. I didn't like it. First I started texting my bullpen on my phone. Then after a while I decided I had had enough. So I left the bar, left her there. Dumped her the next day.
In your case since you are married to her dumping her isn't as easy, but you can still distance yourself. When she starts talking to the other dudes go start taking to other chicks if you are able, either in person or on your phone. If you can't do this go start talking to strange guys. Pretend like you have forgot about her. And if she is really bothering you, you could still leave.
Attention to women is currency, as sex is to men. Even though the other dude(s) are giving her an attention fix, your attention should still mean something to her and when you withdraw it she probably won't like it. If she doesn't care, then its time to start looking into a divorce.