What punishment does law provide if wife lives with another person in " live in relationship"?

Respected Sir, My name is karthik. My wife wants divorce from me, but iam not willing to give divorce. This is second marriage for both of us. She wants divorce for no reason. She wants me to get out of my parents , and live with her in her home town. But this is not acceptable for me, because her actions and demands are in direct violation of every human rights, to look after their parents at their latter age. Moreover i am only son to my parents. So her demands cannot be fulfilled by me at any cost So under these circumstances , she left me me and living with their parents in her home town.. She now threatens me with the following statement. " Even though you refuse to give divorce, i can lead my life ,with another person with live in relationship, In this way I cannot be prosecuted under law, because no marriage has taken place between us. And even if you make complaint , I cannot be prosecuted for bigamy, only the person with whom i lives can be prosecuted. So in any way, and whatever legal action you take, I can remain unprosecuted. " Sir, my only question to all the lawyers is the following Can I punish my wife if she lives in live in relationship with another man, before getting divorce from me? Is there any legal section for punishing these type of womens? OR as my wife said is there is no room for punishing her under indian law? PLEASE PLEASE HELP ME SIR . ( sir iam hindu and we comes under hindu marriage act )