In Jainism, a monk renounces all worldly ties and vows celibacy, so a true monk would not have a wife. Therefore, Anantvirya Swami would not have a wife or a wife’s name. If you’re referring to a specific historical figure named Anantvirya who was a householder before renunciation, please note that such details would depend on the particular story, but as a monk he would not be married.