Who would win in a fight: J.K. Rowling, or J.J. Abrams?

What if the creator of Harry Potter met the originator of Alias and Lost, on the field of battle? Assume that Rowling gets to wield any item that's introduced in the Harry Potter books. Meanwhile, Abrams gets any device from his TV shows, but nothing from Mission Impossible, Star Trek or Star Wars. Who ya got?