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

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

doi:10.1007/JHEP01(2020)066

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

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

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	0-31
Number of pages	32
Journal	Journal of High Energy Physics
DOIs	https://doi.org/10.1007/JHEP01(2020)066
Publication status	Published - 2020

Keywords

AdS/CFT correspondence

Access to Document

10.1007/JHEP01(2020)066

Cite this

@article{118efce9caee4270a6dace42c665e852,

title = "On subregion action complexity in AdS3 and in the BTZ black hole",

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.",

keywords = "AdS/CFT correspondence, AdS/CFT correspondence",

author = "Roberto Auzzi and Stefano Baiguera and Andrea Legramandi and Giuseppe Nardelli and Pratim Roy and Nicolo' Zenoni",

year = "2020",

doi = "10.1007/JHEP01(2020)066",

language = "English",

pages = "0--31",

journal = "Journal of High Energy Physics",

issn = "1029-8479",

publisher = "Societa Italiana di Fisica:Via Saragozza 12 Subs Service, I 40123 Bologna Italy:011 39 051 331554, EMAIL: sif@sif.it, INTERNET: http://www.sif.it, Fax: 011 39 051 581340 SISSA, Scuola internazionale superiore di studi avanzati",

}

TY - JOUR

T1 - On subregion action complexity in AdS3 and in the BTZ black hole

AU - Auzzi, Roberto

AU - Baiguera, Stefano

AU - Legramandi, Andrea

AU - Nardelli, Giuseppe

AU - Roy, Pratim

AU - Zenoni, Nicolo'

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - AdS/CFT correspondence

UR - http://hdl.handle.net/10807/146064

U2 - 10.1007/JHEP01(2020)066

DO - 10.1007/JHEP01(2020)066

M3 - Article

SN - 1029-8479

SP - 0

EP - 31

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this