Modifications to Holographic Entanglement Entropy in Warped CFT

Abstract

In arXiv:1601.02634 it was observed that asymptotic boundary conditions play an important role in the study of holographic entanglement beyond AdS/CFT. In particular, the Ryu-Takayanagi proposal must be modified for warped AdS${}_3$ (WAdS${}_3$) with Dirichlet boundary conditions. In this paper, we consider AdS${}_3$ and WAdS${}_3$ with Dirichlet-Neumann boundary conditions. The conjectured holographic duals are warped conformal field theories (WCFTs), featuring a Virasoro-Kac-Moody algebra. We provide a holographic calculation of the entanglement entropy and Rényi entropy using AdS${}_3$/WCFT and WAdS${}_3$/WCFT dualities. Our bulk results are consistent with the WCFT results derived by Castro-Hofman-Iqbal using the Rindler method. Comparing with arXiv:1601.02634, we explicitly show that the holographic entanglement entropy is indeed affected by boundary conditions. Both results differ from the Ryu-Takayanagi proposal, indicating new relations between spacetime geometry and quantum entanglement for holographic dualities beyond AdS/CFT.

39 pages, 3 figures, published version

References in corpus (23)

• Towards a derivation of holographic entanglement entropy
• Massive Gravity in Three Dimensions
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Holographic c-theorems in arbitrary dimensions
• Seeing a c-theorem with holography
• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Warped AdS_3 Black Holes
• The BMS/GCA correspondence
• $\mathcal{N}=1$ supersymmetric indices and the four-dimensional A-model
• Entanglement Entropy at Large Central Charge
• Deriving covariant holographic entanglement
• Entanglement entropy in Galilean conformal field theories and flat holography
• Soft Heisenberg hair on black holes in three dimensions
• The Entanglement Renyi Entropies of Disjoint Intervals in AdS/CFT
• Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity
• Most general AdS_3 boundary conditions
• Warped Conformal Field Theory as Lower Spin Gravity
• Cargese Lectures on the Kerr/CFT Correspondence
• Boundary conditions for General Relativity on AdS${}_3$ and the KdV hierarchy
• Microscopic Realization of the Kerr/CFT Correspondence
• Two Virasoro symmetries in stringy warped AdS${}_3$
• Holographic Entanglement Entropy in NMG

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• Entanglement Entropy for $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ deformed holographic CFT
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• First Law and Quantum Correction for Holographic Entanglement Contour
• Squashed Entanglement from Generalized Rindler Wedge
• Revisit the entanglement entropy with gravitational anomaly
• Warped CFT duals of the Plebański-Demiański family of solutions
• Boundary Conditions for Warped AdS${}_3$ in Quadratic Ensemble
• Gravitational radiations of Kerr black hole from warped symmetries
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• Developments in non-relativistic field theory and complexity