Holographic Dual of BCFT

By T. Takayanagi. 2011

465 citations recorded by the source corpus.

We propose a holographic dual of a conformal field theory defined on a manifold with boundaries, i.e. boundary conformal field theory (BCFT). Our new holography, which may be called AdS/BCFT, successfully calculates the boundary entropy or g-function in two dimensional BCFTs and it agrees with the finite part of the holographic entanglement entropy. Moreover, we can naturally derive a holographic g-theorem. We also analyze the holographic dual of an interval at finite temperature and show that there is a first order phase transition.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/cfee1c6ffdc6d687d10819818d5ad8c1b50b68fb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. S. Raju
2. R. Myers
3. T. Takayanagi
4. J. Maldacena
5. D. Harlow
6. D. Stanford
7. H. Chen
8. Ahmed Almheiri

In Nuclear and High Energy Physics

1. S. Raju
2. R. Myers
3. T. Takayanagi
4. J. Maldacena
5. D. Harlow
6. H. Chen
7. D. Stanford
8. Ahmed Almheiri

In Statistical and Nonlinear Physics

1. S. Raju
2. R. Myers
3. T. Takayanagi
4. D. Harlow
5. J. Maldacena
6. H. Chen
7. D. Stanford
8. Ahmed Almheiri

Citations in the corpus

• Massive islands (2020, background): “the AdS/BCFT proposal of [4, 5] and that of [7].”
• Central charges for BCFTs and holography (2012, methodology): “We can perform the conformal transformation so that the boundary P = ∂M is mapped from the hyperplane to a round sphere [3, 5].”
• The Page curve of Hawking radiation from semiclassical geometry (2019, background): “Such terms lead to a nonzero boundary entropy [32], see [33].”
• Bra-ket wormholes in gravitationally prepared states (2020, background): “The fact that they can be connected was discussed in [40, 41].”
• Liouville action as path-integral complexity: from continuous tensor networks to AdS/CFT (2017, background): “The boundary at z = 0 corresponds to that of the boundary state |B〉 which matches with the AdS/BCFT formulation [90, 91].”
• Information Transfer with a Gravitating Bath (2020, background): “a BCFTd [48, 49]), a description also emphasized in [50, 51],”
• Information radiation in BCFT models of black holes (2019, methodology): “The work of [35] established a connection between the tension of the ETW brane and the boundary entropy (or higher-dimensional generalizations), which can be understood as a measure of the number of degrees of freedom associated with the boundary.”
• Entanglement islands in higher dimensions (2019, methodology): “Figure 1: A simple geometry with a RS or a Planck brane, discussed in [33].”
• Entanglement entropy from a holographic viewpoint (2012, methodology): “This is argued to be given by generalizing the AdS/CFT correspondence in the following way [130, 131] (called as AdS/BCFT).”
• Quantum extremal islands made easy. Part II. Black holes on the brane (2020, methodology): “[16, 17, 59], taking into account that the RT surfaces that can also end on the Planck brane [60, 61].”
• Information flow in black hole evaporation (2019, background): “Since the CFT is defined on manifolds with boundary (a boundary conformal field theory, or BCFT), the bulk also contains a second class of branes on which the AdS space ends: end-of-the-world (ETW) branes [38].”
• Inconsistency of islands in theories with long-range gravity (2021, background): “The boundary dual to this geometry is believed to be a BCFTd, a CFTd on a space with a boundary and with conformal boundary conditions for CFT fields as one approaches this boundary [88].”
• Quantum extremal islands made easy. Part I. Entanglement on the brane (2020, background): “, end-of-the-world branes to give a holographic description of conformal boundaries separating various components [77, 78] and performing a Z2 orbifold quotient across the Planck brane, i.”
• Holographic evolution of the mutual information (2011, methodology): “This inequality has been employed to study the c theorems from the holographic point of view [45, 46] and their generalizations in presence of boundaries [47, 48, 49, 50].”
• Entanglement of purification: from spin chains to holography (2017, background): “The holographic calculations are based on an unproven but plausible proposal [33] for the gravity dual of BCFT (the proposal passes many checks).”
• DE SITTER MUSINGS (2012, background): “It would also be of great interest to understand whether a bubble nucleation in a false de Sitter vacuum can be described purely in the language of a CFT, perhaps along the lines of [149].”
• Lessons from the information paradox (2020, background): “Then — as first pointed out by Karch and Randall [130, 131] (see also [132, 133] for more details) — it is believed that the entire system has a dual gravitational description in terms of gravity propagating on a AdSd+1 manifold that ends on a Randall-Sundrum brane [134,135] whose worldvolume is its”
• Holographic local quenches and entanglement density (2013, unknown): “(7)Another holographic realization of entangled pairs refer to [36] based on the AdS/BCFT proposal [37].”
• Aspects of AdS/BCFT (2011, methodology): “At the same time, we will also expose detailed calculations on the results reported briefly in the letter [4].”