Rényi Mutual Information in Holographic Warped CFTs

Abstract

The study of Rényi mutual information (RMI) sheds light on the AdS/CFT correspondence beyond classical order. In this article, we study the Rényi mutual information between two intervals at large distance in two-dimensional holographic warped conformal field theory, which is conjectured to be dual to the gravity on AdS3 or warped AdS3 spacetime under the Dirichlet-Newman boundary conditions. By using the operator product expansion of twist operators up to level 3, we read the leading oder and the next-toleading order RMI in the large central charge and small cross-ratio limits. The leading order result is furthermore confirmed using the conformal block expansion. Finally, we match the next-to-leading result by a 1-loop calculation in the bulk.

41 pages; minor revision, note added

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Cited by in corpus (13)

• Swing surfaces and holographic entanglement beyond AdS/CFT
• Warped Symmetries of the Kerr Black Hole
• Modular Hamiltonians in flat holography and (W)AdS/WCFT
• 2d Galilean Field Theories with Anisotropic Scaling
• Computable Rényi mutual information: Area laws and correlations
• Complexity of warped conformal field theory
• Reflected Entropy in AdS${}_3$/WCFT
• Typical Correlation Length of Sequentially Generated Tensor Network States
• Supersymmetric Warped Conformal Field Theory
• 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
• Bulk entanglement and its shape dependence