pkgtool (Slack's package manager) doesn't track dependencies.
I fished out the compilation dependencies from here (obscure place, I know!): http://www.rocklinux.net/packages/arts.html
As for run-time dependencies? Honestly, I can't say for absolute certainty. Perhaps some stuff in kde-multimedia, maybe some alsa stuff ... sounds unlikely, even to my ears.
I would advise a) install everything, strip back a handful of packages at a time or b) install nothing, then add a few at a time. Certainly start with installpkg slackware/kde/*.tgz and see where that gets you.
I'm sorry for not being much more useful ...