Explore the second lecture in a series on entanglement and gravitational spacetime emergence, focusing on gravity duals of Conformal Field Theories (CFTs) on manifolds with boundaries. Delve into the extension of AdS/CFT correspondence through the introduction of end-of-the-world branes, leading to AdS/BCFT duality. Examine how this holographic framework addresses key issues in quantum gravity, including the black hole information problem. Learn from Professor Tadashi Takayanagi of Kyoto University's Yukawa Institute for Theoretical Physics as he elucidates the mechanics of this holographic duality and discusses recent advancements in the field. Gain insights into the intersection of quantum field theories and gravitational physics in this advanced theoretical physics lecture, part of the "Quantum Information, Quantum Field Theory and Gravity" program at the International Centre for Theoretical Sciences.