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

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

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

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
Pages (from-to)0-31
Number of pages32
JournalJournal of High Energy Physics
DOIs
Publication statusPublished - 2020

Keywords

  • AdS/CFT correspondence

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