BCFT and Islands in two dimensions
Kenta Suzuki, Tadashi Takayanagi
Abstract
A bstract By combining the AdS/BCFT correspondence and the brane world holography, we expect an equivalence relation between a boundary conformal field theory (BCFT) and a gravitational system coupled to a CFT. However, it still remains unclear how the boundary condition of the BCFT is translated in the gravitational system. We examine this duality relation in a two-dimensional setup by looking at the computation of entanglement entropy and energy flux conservation. We also identify the two-dimensional gravity which is dual to the boundary dynamics of a BCFT. Moreover, we show that by considering a gravity solution with scalar fields turned on, we can reproduce one point functions correctly in the AdS/BCFT.
Topics & Concepts
PhysicsGravitationConformal mapDilatonScalar fieldTheoretical physicsBoundary conformal field theoryConformal field theoryBoundary value problemMathematical physicsMathematicsClassical mechanicsQuantum mechanicsMathematical analysisNeumann boundary conditionRobin boundary conditionBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories