On subregion action complexity in AdS3 and in the BTZ black hole

Roberto Auzzi, Stefano Baiguera, Andrea Legramandi, Giuseppe Nardelli, Pratim Roy, Nicolò Zenoni

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

We analytically compute subsystem action complexity for a segment in the BTZ black hole background up to the finite term, and we find that it is equal to the sum of a linearly divergent term proportional to the size of the subregion and of a term proportional to the entanglement entropy. This elegant structure does not survive to more complicated geometries: in the case of a two segments subregion in AdS3, complexity has additional finite contributions. We give analytic results for the mutual action complexity of a two segments subregion.

Original languageEnglish
Article number66
JournalJournal of High Energy Physics
Volume2020
Issue number1
DOIs
StatePublished - 1 Jan 2020
Externally publishedYes

Keywords

  • AdS-CFT Correspondence
  • Black Holes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Fingerprint

Dive into the research topics of 'On subregion action complexity in AdS3 and in the BTZ black hole'. Together they form a unique fingerprint.

Cite this