AS thingemajib said, it does have HDMI, but its completely pointless, Ludic stuff is concept thats proven so far to not work. ACtually it "works" and from what I've read is surprisingly stable and does work in games it supports(though thats reviews, its generally end users who play games properly and will find proper problems, missing textures, buggy bits, etc).
But improved performance from a 2nd gpu, is just non existant, and seeing as thats the point behind the Lucid stuff, its pointless.
No way I'd pay for a 5750-5770 as an IGP to boost performance when it doesn't actually boost any performance, and from what I've seen, while not boosting performance absolutely destroys minimum framerates in the process.
At the moment xfire/sli will probably average a 70% boost, in its early days and worst days you'd be getting 30-40% in most games, a lot more in others. Lucid so far is averaging 2-3% while killing minimum framerates, improved drivers just aren't going to cut it to be honest.
AS for the idea of a Nvidia optimus type tech where a IGP can run windows and discrete gpu can completely power down when not in game is a great idea.
But the 5850/70 have done an immense job of power saving at idle anyway, incredibly frankly, theres only another 5-10W possible to save now really because you still want something powerful enough to run high def vid while not in games. A 5770 isn't a massive saving for idle, and frankly in 2 years everyone will be buying cpu's with more than capable gpu's on die that can handle "windows". Optimus type power saving out of games will be completely standard very shortly, paying more for an expensive board with IGP and non working lucid chip makes no sense at all, especially for the potential of saving 10w's. Ok if you have 480gtx and dual screens you could save a lot more than 10W right now, but if you're fussed about idle power usage, you shouldn't have a 480gtx to be honest.