Holographic entanglement entropy in AdS${}_3$$/$WCFT

Abstract

In this paper, we consider AdS${}_3$ with Comp$\grave{\mathrm{e}}$re-Song-Strominger (CSS) boundary conditions, under which the dual field theory is warped conformal field theory (WCFT), featuring a Virasoro-Kac-Moody algebra. We provide a holographic dual picture of the single interval entanglement entropy in WCFT in the bulk AdS${}_3$. We explicitly show that the bulk object captures the entanglement entropy in WCFT is a massive spinning particle's worldline that anchored on the boundary of the interval. Given the mass and spin of the particle as functions of quantum numbers of the twist operator in WCFT, the on-shell worldline action will match the entanglement entropy in WCFT.

10 pages

References in corpus (6)

• Warped AdS_3 Black Holes
• $\mathcal{N}=1$ supersymmetric indices and the four-dimensional A-model
• Semi-classical central charge in topologically massive gravity
• Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity
• Warped Conformal Field Theory as Lower Spin Gravity
• Two Virasoro symmetries in stringy warped AdS${}_3$

Cited by in corpus (8)

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• Supersymmetric Warped Conformal Field Theory
• Holographic complexity of rotating black holes with conical deficits
• Warped Conformal Symmetries of the Accelerating Kerr Black Hole
• Gravitational radiations of Kerr black hole from warped symmetries
• Warped CFT duals of the Plebański-Demiański family of solutions