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Quantum correction of the Wilson line and entanglement entropy in the pure AdS3 Einstein gravity theory

Xing Huang, Chen-Te Ma, Hongfei Shu

Physics Letters B · 2020

doi:10.1016/j.physletb.2020.135515 (opens in a new tab)

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Abstract

We calculate the expectation value of the Wilson line in the pure AdS3 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”.

Abstract licence: CC BY

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