Similarly, you may ask, who owns King George Island?
As part of the Antarctic Treaty, no one country can claim sovereignty over King George Island, and although both Chile and Argentina claimed ownership rights (in 1940 and 1943, respectively) these claims aren't internationally recognised.
Also, what is the administration of the South Shetland Islands? The South Shetland Islands are not under the control of any nation. Instead, the Antarctic Treaty enables all signatories to utilize the region for any non-military related purposes.
Thereof, what exists in the South Shetland Island?
In the South Shetland volcanic archipelago, brave new worlds like Deception Island, Neptune's Bellows and possibly Half Moon Island. Opportunities exist to see the flooded caldera's hot springs and visit an abandoned whaling station or active Argentine scientific research station.
How do I get to the South Shetland Islands?
Flights & getting there. The South Shetlands are just half a day's cruise across the Bransfield Strait from the Antarctic Peninsula, and all cruises stop here. There are also fly-cruise tours, by which you fly into King George Island from Chile or Argentina and then switch to a cruise for touring Antarctica.