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arXiv · 1604.03644

Higher spin entanglement entropy at finite temperature with chemical potential

Bin Chen·Jie-qiang Wu
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Abstract

It is generally believed that the semiclassical AdS$_3$ higher spin gravity could be described by a two dimensional conformal field theory with ${\cal{W}}$-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 ${\cW}_3$ 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 ${\cW}_3$ 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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Bin Chen, Jie-qiang Wu. 2016-07-05. Higher spin entanglement entropy at finite temperature with chemical potential. https://doi.org/10.1007/jhep07(2016)049

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