I am following the directions here
http://blog.heroku.com/archives/2011/8/29/play/
but I do play run and then git push heroku master
play run
git push heroku master
You need to create a file named Procfile in the root of your project and for Play it should contain
web: play run --http.port=$PORT $PLAY_OPTS
When you then deploy your application the $PORT and $PLAY_OPTS will be set by heroku when the application is started.