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arXiv · 2202.08462

BCFT and Islands in Two Dimensions

Kenta Suzuki·Tadashi Takayanagi
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Abstract

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.

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Kenta Suzuki, Tadashi Takayanagi. 2022-02-17. BCFT and Islands in Two Dimensions. https://doi.org/10.1007/jhep06(2022)095

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