Leica SL has a Leica L lens mount and currently there are 77 native lenses available for this mount.
The latest released lenses that are compatible with the SL are the Sigma 50mm F1.2 DG DN Art, the Sigma 500mm f5.6 DG DN OS Sports and the Sigma 15mm f1.4 DG DN Art.
Leica SL doesn't have a sensor based image stabilization system but
13 of these lenses already comes with optical image stabilization.
Since Leica SL has a Full frame sensor, it has a focal length multiplier of 1× so lenses will provide their original focal length on SL.
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Leica SL Lenses with Image Stabilization
Leica SL Lenses with Weather Sealings