Defect conformal field theory and locally localized gravity
By O. Aharony, Oliver DeWolfe, D. Freedman, A. Karch. 2003
140 citations recorded by the source corpus.
Gravity may be ``locally localized'' over a wide range of length scales on a d-dimensional anti-de Sitter (AdS) brane living inside AdSd+1. In this paper we examine this phenomenon from the point of view of the holographic dual ``defect conformal field theory''. The mode expansion of bulk fields on the gravity side is shown to be precisely dual to the ``boundary operator product expansion'' of operators as they approach the defect. From the field theory point of view, the condition for localization is that a ``reduced operator'' appearing in this expansion acquires negative anomalous dimension. In particular, a very light localized graviton exists when a mode arising from the reduction of the ambient stress-energy tensor to the defect has conformal dimension ? ~ d?1. The part of the stress tensor containing the defect dynamics has dimension ? = d?1 in the free theory, but we argue that it acquires a positive anomalous dimension in the interacting theory, and does not participate in localization in the regime of small backreaction of the brane. We demonstrate that such an anomalous dimension is consistent with the conservation of the full stress-energy tensor. Finally, we analyze how to compute the anomalous dimensions of reduced operators from gravity at leading order in the interactions with the brane.
Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/e572871bd3747e74500445347d8ec136b6b65c6e
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Citations in the corpus
- A general proof of the quantum null energy condition (2017, background): “Versions of this problem have been studied previously in holographic defect theories [84] and it does not require much to adapt to the replica problem at hand [85].”
- Quantum extremal islands made easy. Part II. Black holes on the brane (2020, methodology): “The remainder of this paper is organised as follows: In section 2, we review the bulk geometry and effective action of our model presented in [1], which is based on the Karch-Randall setup [64, 76–81] for branes embedded in AdS.”
- Quantum extremal islands made easy. Part I. Entanglement on the brane (2020, background): “Lastly, the d-dimensional graviton can be understood as a field dual to the lightest operator appearing in the boundary OPE expansion of the CFT stress energy tensor [87].”
- A dilatonic deformation of AdS5 and its field theory dual (2003, methodology): “is a defect conformal field theory (dCFT), and in the context of the AdS/CFT, it has already been studied in [14, 15, 16, 17].”
- Interface Yang–Mills, supersymmetry, and Janus (2006, background): “Ample evidence was presented there that this scenario is viable, at least in the approximation where the D5 brane is treated as a “probe”, and the back reaction of the D5 on the system of D3 branes is ignored [21, 23 , 24, 25].”
- Massive islands (2020, methodology): “The BCFT perspective, description 1), provides an alternative way to understand these properties of the graviton as was mapped out in detail in [14].”
- 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”
- Defects in conformal field theory (2016, background): “In high energy physics, boundaries and interfaces can be engineered holographically [21, 22, 23, 24], while the systematic exploration of superconformal boundary conditions in N = 4 SYM was carried out in [25].”