Legacy Documentation: Version 5.6 (Go to current version)
Windows Store Apps: Command line arguments
AppCallbacks class
Other Versions

Windows Store Apps: Association launching

The API allows you to launch the user’s default app for a file type or protocol. Check out - UnityEngine.WSA.Launcher for more information.

You can also enable your app to be the default app for a file type or protocol. You can set this information in Player Settings (More settings are available in Package.appxmanifest -> Declarations)

You can download an example project here.

You can read more here - Assocation launching.

Windows Store Apps: Command line arguments
AppCallbacks class