How long you have been married?, If the period of marriage is more than a year, you can, with the help of evidences in your possession namely the snap shots of Facebook communications ad other evidences to prove her adulterous life before and after marriage, can file a divorce case against her on the ground of adultery or extra marital sex, i.e., u/s 13(1)(i) of HM Act, it can be on the ground of voluntary sexual intercourse with any person other than his or her spouse. For this even a solitary instance of voluntary sexual intercourse wit te person other than one's own spouse is enough for granting decree of divorce. Also it cannot be said that the petition for divorce on the ground adultery cannot be decreed for want of direct evidence fo such an act as it is done in privacy. The standard proof of extra marital sex in the divorce proceedings can be based on circumstantial evidence and strong probabilities corroborating each other.
In a case of for divorce based on adultery, the adulterer is a necessary party and ought to be made second respondent in the case.
You may see the possibilities of living with her anymore or to divorce her and confirm the eligibility for filing the case.