Can i file a cheating case on my ex boyfriend for

I was in a relationship with a man until 2 days back for past 1 year and two months. He promised to marry me and said that he will show my photo to his parents n talk to them about me. Recently i came to know that he was already engaged in 2016 itself even before meeting me.. But still he had physical relationship with me and i trusted him so much as he said he would marry me. Also i came to know that apart from me he was also having relationship with one more girl too. Basically he was triple timing 3 girls at a time. On September 12 this year one of his friend called me up and told me that he is already engaged and even has a child with some other women. Also his ex gf called me up and told that he still has contact with her and was planning to have s*x with her. Now recently his to be wife has told that the man has told her that i am a characterless women n sleeps around with other men whearas on the other hand its him who is in relationship with me. I would like to give more details about this case.. But right now i just want to know if i can take any action against him. Because he cheated on me with the promise of marriage despite being already engaged and kept lying about it till 19th September this year. But ita just that i donot want to involve my parents in this case. Please help me.