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

We study holographic entanglement entropy in the pure AdS3 Einstein gravity theory. The partition function on an n-sheet torus is one-loop exact. The one-loop term leads to an exact shifting of the central charge for the single-interval of entanglement entropy. In the end, we show that the bulk Wils...

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Bibliographic Details
Main Author: Ma, Chen-Te
Format: Conference Proceeding
Language:English
Subjects:
Entropy
Partitions (mathematics)
Toruses
Online Access:Get full text
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Summary:We study holographic entanglement entropy in the pure AdS3 Einstein gravity theory. The partition function on an n-sheet torus is one-loop exact. The one-loop term leads to an exact shifting of the central charge for the single-interval of entanglement entropy. In the end, we show that the bulk Wilson line plays the role of the minimum surface, and it is dual to the entanglement entropy. Hence we realize “minimum surface=entanglement entropy” at a quantum level.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0216012