Some calculable contributions to holographic entanglement entropy

Ling Yan Hung*, Robert C. Myers, Michael Smolkin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

79 Scopus citations

Abstract

Using the AdS/CFT correspondence, we examine entanglement entropy for a boundary theory deformed by a relevant operator and establish two results. The first is that if there is a contribution which is logarithmic in the UV cut-off, then the coefficient of this term is independent of the state of the boundary theory. In fact, the same is true of all of the coefficients of contributions which diverge as some power of the UV cut-off. Secondly, we show that the relevant deformation introduces new logarithmic contributions to the entanglement entropy. The form of some of these new contributions is similar to that found in investigations of entanglement entropy in a free massive scalar field theory [1, 2].

Original languageAmerican English
Article number39
JournalJournal of High Energy Physics
Volume2011
Issue number8
DOIs
StatePublished - 2011
Externally publishedYes

Keywords

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

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