End of the World Brane meets $T\bar{T}$

Abstract

End of the world branes in AdS have been recently used to study problems deeply connected to quantum gravity, such as black hole evaporation and holographic cosmology. With non-critical tension and Neumann boundary condition, the end of the world brane often represents part of the degrees of freedom in AdS gravity and geometrically it is only part of the entire boundary. On the other hand, holographic $T\bar{T}$ deformation can also give a boundary as a cutoff surface for AdS gravity. In this paper we consider AdS gravity with both the end of the world boundary and the cutoff boundary. Using partial reduction we obtain a brane world gravity glued to a $T\bar{T}$ deformed bath. We compute both entanglement entropy and Page curve, and find agreement between the holographic results and island formula results.

1+26 pages, 11 figures

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Cited by in corpus (6)

• Holographic $T\bar{T}$ deformation of the entanglement entropy in (A)dS${}_3$/CFT${}_2$
• Bridging Boundaries: $T\bar{T}$, Double Holography, and Reflected Entropy
• Holographic boundary conformal field theory with $T\bar{T}$ deformation
• Toward a Unified de Sitter Holography: A Composite $T\bar{T}$ and $T\bar{T}+{\Lambda }_2$ Flow
• Entanglement, defects, and $T\bar{T}$ on a black hole background
• Constraints from Entanglement Wedge Nesting for Holography at a Finite Cutoff