The claim that BMS supertranslation symmetries form an asymptotic symmetry group of asymptotically flat spacetimes is well supported by foundational and modern theoretical literature in general relativity.
The retrieved papers consistently confirm that the Bondi-Metzner-Sachs (BMS) group, which incorporates infinite-dimensional supertranslations, serves as the asymptotic symmetry group for asymptotically flat spacetimes. Papers 0, 2, 3, and 9 explicitly discuss or utilize this foundational relationship in general relativity and related gravitational theories.