On subregion action complexity in \(\mathrm{AdS}_3\) and in the BTZ black hole
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Publication:2185288
DOI10.1007/JHEP01(2020)066zbMATH Open1434.83051arXiv1910.00526OpenAlexW3104358612WikidataQ126344245 ScholiaQ126344245MaRDI QIDQ2185288
Author name not available (Why is that?)
Publication date: 4 June 2020
Published in: (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1910.00526
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