Subsystem complexity in warped AdS

Roberto Auzzi, Stefano Baiguera, Arpita Mitra, Giuseppe Nardelli, Nicolò Zenoni

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


We compute the ultraviolet divergences of holographic subregion complexity for the left and right factors of the thermofield double state in warped AdS3 black holes, both for the action and the volume conjectures. Besides the linear divergences, which are also present in the BTZ black hole, additional logarithmic divergences appear. For the action conjecture, these log divergences are not affected by the arbitrarity in the length scale associated with the counterterm needed to ensure reparameterization invariance. We find that the subregion action complexity obeys the superadditivity property for the thermofield double in warped AdS3, independently from the action counterterm coefficient. We study the temperature dependence of subregion complexity at constant angular momentum and we find that it is correlated with the sign of the specific heat.

Original languageEnglish
Article number114
JournalJournal of High Energy Physics
Issue number9
StatePublished - 1 Sep 2019
Externally publishedYes


  • AdS-CFT Correspondence
  • Black Holes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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