On subregion action complexity in AdS$_3$ and in the BTZ black hole
High Energy Physics - Theory
2020-02-12 v2
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 AdS, complexity has additional finite contributions. We give analytic results for the mutual action complexity of a two segments subregion.
Keywords
Cite
@article{arxiv.1910.00526,
title = {On subregion action complexity in AdS$_3$ and in the BTZ black hole},
author = {Roberto Auzzi and Stefano Baiguera and Andrea Legramandi and Giuseppe Nardelli and Pratim Roy and Nicolo Zenoni},
journal= {arXiv preprint arXiv:1910.00526},
year = {2020}
}
Comments
29 pages, 7 figures, V2: minor changes, refs added