BMS Supertranslations as Coset States & SLOCC

Abstract

The algebra of BMS supertranslations and SLOCC for state entanglement of black holes are found to share the same Lax pair structure.  In addition this system is a reduced quotient system of variables or states that describes conformal currents.  The quotient group and space structure gives Hermitian symmetric space structure to entanglements that under a low energy decomposition recovers AdS_n~ CFT_n-1correspondence and F-theory.