  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.
