Entanglement renormalization and integral geometry

Xing Huang, Feng Li Lin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


Abstract: We revisit the applications of integral geometry in AdS3 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.

Original languageEnglish
Article number81
Pages (from-to)1-35
Number of pages35
JournalJournal of High Energy Physics
Issue number12
Publication statusPublished - 2015 Dec 1


  • AdS-CFT Correspondence
  • Holography and condensed matter physics (AdS/CMT)
  • Renormalization Group

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


Dive into the research topics of 'Entanglement renormalization and integral geometry'. Together they form a unique fingerprint.

Cite this