Yes, British aircraft carriers were indeed sunk during World War II, although not by German U-boats or Japanese kamikaze attacks. The Royal Navy faced several threats during the war, and while German U-boats and Japanese kamikazes were major dangers, other factors led to the sinking of British carriers.
The first British aircraft carrier to be sunk during the war was the **HMS Ark Royal** (R09), which was torpedoed by the German U-boat **U-81** on November 13, 1941. The carrier had been involved in various operations, including hunting down the German battleship *Bismarck*. After being hit by the torpedo, the *Ark Royal* managed to stay afloat long enough for her crew to abandon ship, but she eventually sank the next day. The loss of the *Ark Royal* was a significant blow to the Royal Navy, but it was not due to a kamikaze attack or airstrike.
Another British carrier, the **HMS Glorious**, was also sunk during World War II, but this occurred due to an engagement with German surface ships, not a U-boat or kamikaze attack. On June 8, 1940, the *HMS Glorious* was sunk by the German battleships **Scharnhorst** and **Gneisenau** while operating in the Norwegian Sea. She was caught off guard, and the resulting action led to her sinking, with the loss of over 1,400 men.
In terms of kamikaze attacks, while British carriers faced such threats later in the war, they were not directly responsible for sinking a major British carrier. However, carriers like **HMS Formidable** and **HMS Implacable** did suffer significant damage during the Pacific War due to Japanese kamikaze strikes, but they managed to survive and continue operations.
In summary, British aircraft carriers were indeed sunk during World War II, but the losses were primarily due to German U-boats, surface ships, and airstrikes—not specifically from U-boats or kamikaze attacks.