poetry is language artfully arranged using tools of sound, rhythm, shape of lines, image and metaphor to create an emotional response in the reader. David St.John says poetry creates empathy with that which is other. Poems can be narrative (tell a story) and well-wriiten prose can be poetry.
A short story is a work of fiction that is usually written in prose, often in narrative format. This format tends to be more pointed than longer works of fiction, such as novellas (in the 20th and 21st century sense) and novels.
Drama is the specific mode of fiction represented in performance.A prose or verse composition, especially one telling a serious story, that is intended for representation by actors impersonating the characters and performing the dialogue and action.