is supergravity 4d?

Yes, supergravity is typically studied in four dimensions, although it can also be generalized to higher dimensions.

is kaguyas dimension a supergravity dimension?

In the context of Japanese folklore and mythology, Kaguya's dimension is not typically associated with supergravity or any scientific theories. Kaguya is a character from the Tale of the Bamboo Cutter, a 10th-century Japanese folktale, where she is depicted as a princess from the Moon who comes to Earth. This story is not related to supergravity or dimensions in the scientific sense.

yes or no

No. Kaguya's dimension in Japanese folklore is not associated with supergravity.