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

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

Research output: Contribution to journal › Article › peer-review

21 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 language	English
Article number	66
Journal	Journal of High Energy Physics
Volume	2020
Issue number	1
DOIs	https://doi.org/10.1007/JHEP01(2020)066
State	Published - 1 Jan 2020
Externally published	Yes

Keywords

AdS-CFT Correspondence
Black Holes

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1007/JHEP01(2020)066

Cite this

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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.",

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AU - Baiguera, Stefano

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AU - Nardelli, Giuseppe

AU - Roy, Pratim

AU - Zenoni, Nicolò

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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

KW - Black Holes

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