Abstract
It is generally believed that the semiclassical AdS3 higher spin gravity could be described by a two dimensional conformal field theory with \( \mathcal{W} \)-algebra symmetry in the large central charge limit. In this paper, we study the single interval entanglement entropy on the torus in the CFT with a \( {\mathcal{W}}_{\mathcal{3}} \) deformation. More generally we develop the monodromy analysis to compute the two-point function of the light operators under a thermal density matrix with a \( {\mathcal{W}}_{\mathcal{3}} \) chemical potential to the leading order. Holographically we compute the probe action of the Wilson line in the background of the spin-3 black hole with a chemical potential. We find exact agreement.
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Chen, B., Wu, Jq. Higher spin entanglement entropy at finite temperature with chemical potential. J. High Energ. Phys. 2016, 49 (2016). https://doi.org/10.1007/JHEP07(2016)049
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DOI: https://doi.org/10.1007/JHEP07(2016)049