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arXiv · 1507.00183

Holographic R\'enyi Entropy of Single Interval on Torus: with W symmetry

Bin Chen·Jie-qiang Wu·Ze-chuan Zheng
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Abstract

In this paper, we extend our study of the holographic R\'enyi entropy of single interval on a torus to the CFT with W symmetry. To read the possible corrections from W fields clearly, we compute the thermal correction to the R\'enyi entropy up to the order $e^{-8\pi /TL}$. In the field theory, this requires us to compute the contribution from all the level 4 states, from both the vacuum module and W primaries. On the gravity side, after computing the eigenvalue of single Schottky generators to the order $e^{-4 \pi/TL}$, we obtain the 1-loop quantum correction to the holographic R\'enyi entropy. We find complete agreement between the bulk and boundary theories.

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Bin Chen, Jie-qiang Wu, Ze-chuan Zheng. 2015-07-01. Holographic R\'enyi Entropy of Single Interval on Torus: with W symmetry. https://doi.org/10.1103/physrevd.92.066002

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