Locally localized gravity

By A. Karch, L. Randall. 2000

672 citations recorded by the source corpus.

We study the fluctuation spectrum of linearized gravity around non-fine-tuned branes. We focus on the case of an AdS4 brane in AdS§. In this case, for small cosmological constant, the warp factor near the brane is essentially that of a Minkowski brane. However, far from the brane, the metric differs substantially. The space includes the AdSs boundary, so it has infinite volume. Nonetheless, for sufficiently small AdS4 cosmological constant, there is a bound state graviton in the theory, and four-dimensional gravity is reproduced. However, it is a massive bound state that plays the role of the four-dimensional graviton.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/6e9bf10de3e92a7f0e48bf1f59d3097f70f121bb

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. T. Takayanagi
2. R. Myers
3. S. Raju
4. J. Maldacena
5. A. Karch
6. V. Hubeny
7. Kostas Skenderis
8. M. Gutperle

In Atomic and Molecular Physics, and Optics

1. S. Raju
2. R. Myers
3. T. Takayanagi
4. A. Karch
5. H. Chen
6. H. Geng
7. Joshua Sandor
8. Dominik Neuenfeld

In Nuclear and High Energy Physics

1. T. Takayanagi
2. R. Myers
3. S. Raju
4. J. Maldacena
5. A. Karch
6. V. Hubeny
7. Kostas Skenderis
8. M. Gutperle

Citations in the corpus

• Entanglement entropy from a holographic viewpoint (2012, methodology): “As shown in [114], the entanglement entropy under a quantum quench in two-dimensional CFTs always increases linearly as a function of time and eventually reaches a constant value after the thermalization time t as sketched in figure 5.”
• D‐branes in Standard Model building, gravity and cosmology (2003, neutral): “Similar behavior was also observed in [51]-[55],[208].”
• Inconsistency of islands in theories with long-range gravity (2021, methodology): “In spacetime dimensions larger than two, precise computations of the Page curve have been performed using a doubly-holographic setup where the AdS black hole and non-gravitational bath are realized through a Karch-Randall brane [7,8] embedded in a higher-dimensional AdS spacetime [3].”
• Quantum Black Holes as Holograms in AdS Braneworlds (2002, neutral): “stood than in the case of flat branes [31, 32, 33].”
• Half-BPS Wilson loop and AdS2/CFT1 (2017, methodology): “The picture is similar to the one discussed in [28–30] (see also, e.”
• Open and closed string interpretation of SUSY CFT's on branes with boundaries (2001, methodology): “1, where C is the minimal distance between the AdS brane and the center of the cylinder, see [2, 5].”
• 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”
• The Page curve of Hawking radiation from semiclassical geometry (2019, background): “A higher dimensional version of this set up and its gravity interpretation was discussed in [26].”
• Aspects of AdS/BCFT (2011, background): “Note that this symmetry structure looks the same as that in the holography for defect or Janus CFTs [5, 19, 20, 21].”
• The Holographic principle (2002, background): “In a very general class of models (Karch and Randall, 2001), the brane fields are dual only to a portion of the bulk.”
• Branes in AdS and pp-wave spacetimes (2002, background): “ar X iv :h ep -t h/ 02 We find half supersymmetric AdS embeddings in AdS5 × S5 corresponding to all quarter BPS orthogonal intersections of D3-branes with Dp-branes.”
• Entanglement islands in higher dimensions (2019, methodology): “Before proceeding, let us review a simple Randall-Sundrum geometry [16,17], which has a Planck brane ending on the conformal boundary of AdS.”
• Massive islands (2020, background): “In [5, 6] it was argued, that a d dimensional holographic field theory on a space with boundaries has three equivalent descriptions:”
• The dS/CFT Correspondence and the Big Smash (2001, methodology): “(The reader will have noted the close analogy with our discussion of the Karch-Randall theory, and indeed the latter may have much to teach us about the dS/CFT correspondence.)”
• Quantum extremal islands made easy. Part I. Entanglement on the brane (2020, methodology): “Recall that (the radial part of) the linearized bulk equation of motion can be reduced to a Schroedinger equation with a double-well potential, where the height of the barrier is determined by the brane tension [44].”