  We calculate the expectation value of the Wilson line in the pure AdS$_3$
Einstein gravity theory and also the entanglement entropy in the boundary
theory. Our one-loop calculation of entanglement entropy shows a shift of the
central charge 26. Finally, we show that the Wilson line provides the
equivalent description to the boundary entanglement entropy. This equivalence
leads to a concrete example of the building of "minimum surface=entanglement
entropy".
