Check with the developer to make sure Heavycoin-Qt works with this version of OS X. You may need to reinstall the application. Be sure to install any available updates for the application and OS X.
Is there a different version of the OS X wallet? Not everyone has Mavericks.
I don't think it matters. The version posted doesn't work with mavericks, it crashes on startup. Someone posted a modified heavycoind binary that you can use in the meantime.