Higher spin entanglement entropy at finite temperature with chemical potential
arXiv:1604.03644 · doi:10.1007/JHEP07(2016)049
Abstract
It is generally believed that the semiclassical AdS higher spin gravity could be described by a two dimensional conformal field theory with -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.
31 pages; References added;Minor correction, published version
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- Scalar Blocks as Gravitational Wilson Networks
- Gravitational Wilson Lines in 3D de Sitter
- Local quenches and quantum chaos from higher spin perturbations
- Chern-Simons Gravity Dual of BCFT
- Holographic Rényi entropy for two-dimensional =(2,2) superconformal field theory
- Note on non-vacuum conformal family contributions to Rényi entropy in two-dimensional CFT