Quantum correction of the Wilson line and entanglement entropy in the pure AdS(3) Einstein gravity theory

摘要

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". (C) 2020 The Author(s). Published by Elsevier B.V.