Islands and Page curves in 4d from Type IIB

Variants of the black hole information paradox are studied in Type IIB string theory setups that realize four-dimensional gravity coupled to a bath. The setups are string theory versions of doubly-holographic Karch/Randall brane worlds, with black holes coupled to non-gravitating and gravitating baths. The 10d versions are based on fully backreacted solutions for configurations of D3, D5 and NS5 branes, and admit dual descriptions as N . = 4 SYM on a half space and 3d T-rho(sigma)[SU(N)] SCFTs. Island contributions to the entanglement entropy of black hole radiation systems are identified through Ryu/Takayanagi surfaces and lead to Page curves. Analogs of the critical angles found in the Karch/Randall models are identified in 10d, as critical parameters in the brane configurations and dual field theories.

Automated summary

Variants of the black hole information paradox are studied in setups of Type IIB string theory realizing four-dimensional gravity coupled to a bath. Through fully backreacted solutions for configurations of D3, D5 and NS5 branes, along with their dual descriptions as N = 4 SYM and 3d T-rho(sigma)[SU(N)] SCFTs, island contributions to the entanglement entropy of black hole radiation systems have been identified, leading to Page curves. Analogous to the critical angles found in the Karch/Randall models, critical parameters in the brane configurations and dual field theories are identified in the 10-dimensional context.