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


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
Issue number1
StatePublished - 1 Jan 2020
Externally publishedYes


  • AdS-CFT Correspondence
  • Black Holes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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