Nikon 1 AW1 has a Nikon 1 lens mount and currently there are 13 native lenses available for this mount.
The latest released lenses that are compatible with the 1 AW1 are the Nikon 1 VR 10-30mm f3.5-5.6 PD-Zoom, the Nikon 1 VR 70-300mm f4.5-5.6 and the Nikon 1 AW 10mm f2.8.
Nikon 1 AW1 doesn't have a sensor based image stabilization system but
7 of these lenses already comes with optical image stabilization.
Since Nikon 1 AW1 has a 1 inch Sensor sensor, it has a focal length multiplier of 2.7× so you have to multiply lenses original focal length with this multiplier to find the Full Frame equivalent focal length of the lens when mounted on 1 AW1.
You may also also be interested in these:
Nikon 1 AW1 Lenses with Image Stabilization
Nikon 1 AW1 Lenses with Weather Sealings