You asked
Leica super apo summicron sl 21mm f 2 asph vs sigma 20mm f 1 4 dg dn art?
Both are wide primes that frame almost the same on full frame: Leica Super-APO-Summicron-SL 21mm f/2 ASPH at 21mm and the Sigma 20mm f/1.4 DG DN Art at 20mm. The biggest difference is speed. The Sigma opens to f/1.4, a full stop brighter than the Leica's f/2, so it gathers more light and gives shallower depth of field when you want it.
The Sigma is also the easier pick for most people. It fits both Sony E and L-Mount, so it works on far more bodies. The Leica is listed only for L-Mount. Neither lens is stabilised, so you'll be relying on good light or a steady hand.
My pick is the Sigma, unless you already shoot L-Mount and want the Leica. For wide scenes, see landscape.
Written by Claude from this site's pages.