On subregion action complexity in AdS$_3$ and in the BTZ black hole

Autor:	Auzzi, Roberto, Baiguera, Stefano, Legramandi, Andrea, Nardelli, Giuseppe, Roy, Pratim, Zenoni, Nicolo
Rok vydání:	2019
Předmět:	High Energy Physics - Theory
Druh dokumentu:	Working Paper
DOI:	10.1007/JHEP01(2020)066
Popis:	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 AdS$_3$, complexity has additional finite contributions. We give analytic results for the mutual action complexity of a two segments subregion. Comment: 29 pages, 7 figures, V2: minor changes, refs added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1910.00526 Zobrazit plný text záznamu View this record from Arxiv