Infidelity Support Group
Any relationship in which one partner engages willfully in sexual relations with another outside of the partnership is considered to have experienced infidelity. This breach of trust is often traumatizing for the faithful partner as well as the relationship, and support is often needed to heal emotionally and to decide whether or not the relationship should continue after...

I hope you have learned your lesson.
I think you should write a brief two to three sentence letter of apology to the wife. The H made a choice to cheat, you made a choice to be with him, but she did not choose to be a betrayed spouse. Then put this whole mess behind you.
Before you get involved with another man make sure he is not married or in a relationship with another woman. Ask questions and look for signs to help you figure out if he's lying or not. I'm sure the right man is out there for you...wait on him! He will come!
Healing is a process, it will happen in time! Apologize to the wife, please!