An Apple spokesperson told The Verge that Lightning to HDMI and Lightning to VGA cables “will be available in the coming months.” by Sean Hollister Sep 13, 2012, 11:07 PM UTC ...

HDMI is really best for connecting a PC to an HDTV. Consequently, I’d go with a DVI cable. That’ll give you a pure digital signal (VGA is analog) and a much sharper picture at higher resolutions.