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arXiv · 1911.03841

Quantum Correction of the Wilson Line and Entanglement Entropy in the Pure AdS$_3$ Einstein Gravity Theory

Xing Huang·Chen-Te Ma·Hongfei Shu
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Abstract

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".

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Xing Huang, Chen-Te Ma, Hongfei Shu. 2019-11-10. Quantum Correction of the Wilson Line and Entanglement Entropy in the Pure AdS$_3$ Einstein Gravity Theory. https://doi.org/10.1016/j.physletb.2020.135515

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