You mean this lens?
Sigma 50mm F1.4 EX DG HSM Lens Reviews - Sigma Lenses - Pentax Lens Review Database
I think the new Sigma 50mm Art is not available in Kmount, at least not yet.
I don't have Sigma lenses, but as far as I know, Sigma labels their FF lenses as DG. So that lens should work on K-1 in full frame mode.
(DC is for Sigma crop lenses, but feel free to google it to double check)
Btw, Pentax has announced a new DFA* 50mm f1.4. This has a new lens design, different from DA 50mm f1.8 and FA 50mm f1.4 and DA* 55mm f1.4. It will be similar to the Sigma Art, judging by the size and weight of the announced lens. But even DA* 55mm f1.4 and FA 50mm f1.4 seem to work in FF mode, if you don't mind a smidge of vignetting. I recently made a thread about Pentax 50mm lenses on FF, if you are interested:
https://www.pentaxforums.com/forums/10-pentax-slr-lens-discussion/344035-cur...mes-k-1-a.html