BCFT and islands in two dimensions. (English) Zbl 1522.83241
Summary: 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.
MSC:
| 83C57 | Black holes |
| 81T35 | Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.) |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 83E05 | Geometrodynamics and the holographic principle |
| 83C45 | Quantization of the gravitational field |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
Software:
QNMspectralReferences:
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