Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 12, Pages 1-35Publisher
SPRINGER
DOI: 10.1007/JHEP12(2015)081
Keywords
AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT); Renormalization Group
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Funding
- MoST [103-2811-M-003-024, 103-2112-M-003 -001 -MY3]
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We revisit the applications of integral geometry in AdS(3) and argue that the metric of the kinematic space can be realized as the entanglement contour, which is defined as the additive entanglement density. From the renormalization of the entanglement contour, we can holographically understand the operations of disentangler and isometry in multi-scale entanglement renormalization ansatz. Furthermore, a renormalization group equation of the long-distance entanglement contour is then derived. We then generalize this integral geometric construction to higher dimensions and in particular demonstrate how it works in bulk space of homogeneity and isotropy.
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