Supposing we have an Indian Dynasty (speaking an Indian language and with a Dharmic state religion) invade and rule Iran for around the same time as the Mughals ruled India. When would be the most likely time for this to occur, and what would be the effects on Iranian culture? Would it be possible to see an Iran which converts from mostly Muslim to mostly Hindu/Buddhist? I feel like odds are highest in antiquity but who are the likely candidates for this in the medieval or early modern eras?