I like the art of your characters. I don't really understand why you can switch between dimensions since the enemies are following. I haven't found how to heal (maybe I can't). Other than that it's a nice game, the mechanics feel right. Well done.
As of now, the only reason for the swap is to deal more damage, but I do plan on adding some other reasons to swap back and forth (potentially only healing in your dimension was considered, but I ran out of time).