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Are both you and your ex husband living in the United States at this time?
Was the divorce in India finalized -- did it become final?
Because the wife is in India, a US state court does not have jurisdiction over her person and you could not legally get her to answer a summons and complaint for divorce in the United States anyway, so the logical place for the divorce is in India. If your issue at this point in time is that you have just discovered her infidelities and you somehow want to charge her with them -- even in a US court, the courts will no longer entertain adultery and infidelity as a "grounds" for divorce -- even if the state law has such divorce grounds still in the law books. All of the states have "irreconcilable differences" as the divorce grounds and in some courts if one party is unfaithful to the other a court might take that into consideration during the property division part of the divorce and award the "wronged" spouse additional compensation as part of the property division in the marriage (so the party who cheated would get 40% of the assets of the marital estate and the wronged spouse will receive 60% of the assets of the marital estate). So under these circumstances, you would not do any better in a US court by charging her with adultery anyway.
I wish I could tell you that you can have this case changed over to a US court so that you could charge her with the adultery and anything else that she should be charged with -- but it simply does not work that way and the right place for the divorce is the Indian court.