I've been looking into this program, and my impression is that you really have to be interested in literature to gain admission to/succeed in the program. The "About" page says this:
"The Ph.D. program is designed specifically for students who have a strong interest in literature or culture, but whose approach or focus requires an interdisciplinary program--for example, students interested in anthropological or philosophical approaches to literature and culture; gender studies; ethnic studies; or in topics such as legal humanities, popular culture, and social or cultural theory."
I would talk to them about what they consider "literature," but if you really have no interest in literature, it may not really be the right program for you.