Complexity-action of subregions with corners
Abstract In the past, the study of the divergence structure of the holographic entanglement entropy on singular boundary regions uncovered cut-off independent coefficients. These coefficients were shown to be universal and to encode important field theory data. Inspired by these lessons we study the...
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Online Access: | http://link.springer.com/article/10.1007/JHEP03(2019)062 |
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doaj-cac9194f6eb34ba7a1c69ba60e86cec52020-11-25T01:48:40ZengSpringerOpenJournal of High Energy Physics1029-84792019-03-012019313010.1007/JHEP03(2019)062Complexity-action of subregions with cornersElena Caceres0Ming-Lei Xiao1Theory Group, Department of Physics, University of TexasInstitute of Theoretical Physics, Chinese Academy of SciencesAbstract In the past, the study of the divergence structure of the holographic entanglement entropy on singular boundary regions uncovered cut-off independent coefficients. These coefficients were shown to be universal and to encode important field theory data. Inspired by these lessons we study the UV divergences of subregion complexity-action (CA) in a region with corner (kink). We develop a systematic approach to study all the divergence structures, and we emphasize that the counter term that restores reparameterization invariance on the null boundaries plays a crucial role in simplifying the results and rendering them more transparent. We find that a general form of subregion CA contains a part dependent on the null generator normalizations and a part that is independent of them. The former includes a volume contribution as well as an area contribution. We comment on the origin of the area term as entanglement entropy, and point out that its presence constitutes a robust difference between the two prescriptions to calculate subregion complexity (-action vs. -volume). We also find universal log δ divergence associated with the kink feature of the subregion. Similar flat angle limit as the subregion-CV result is obtained.http://link.springer.com/article/10.1007/JHEP03(2019)062AdS-CFT CorrespondenceClassical Theories of GravityModels of Quantum Gravity |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Elena Caceres Ming-Lei Xiao |
spellingShingle |
Elena Caceres Ming-Lei Xiao Complexity-action of subregions with corners Journal of High Energy Physics AdS-CFT Correspondence Classical Theories of Gravity Models of Quantum Gravity |
author_facet |
Elena Caceres Ming-Lei Xiao |
author_sort |
Elena Caceres |
title |
Complexity-action of subregions with corners |
title_short |
Complexity-action of subregions with corners |
title_full |
Complexity-action of subregions with corners |
title_fullStr |
Complexity-action of subregions with corners |
title_full_unstemmed |
Complexity-action of subregions with corners |
title_sort |
complexity-action of subregions with corners |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2019-03-01 |
description |
Abstract In the past, the study of the divergence structure of the holographic entanglement entropy on singular boundary regions uncovered cut-off independent coefficients. These coefficients were shown to be universal and to encode important field theory data. Inspired by these lessons we study the UV divergences of subregion complexity-action (CA) in a region with corner (kink). We develop a systematic approach to study all the divergence structures, and we emphasize that the counter term that restores reparameterization invariance on the null boundaries plays a crucial role in simplifying the results and rendering them more transparent. We find that a general form of subregion CA contains a part dependent on the null generator normalizations and a part that is independent of them. The former includes a volume contribution as well as an area contribution. We comment on the origin of the area term as entanglement entropy, and point out that its presence constitutes a robust difference between the two prescriptions to calculate subregion complexity (-action vs. -volume). We also find universal log δ divergence associated with the kink feature of the subregion. Similar flat angle limit as the subregion-CV result is obtained. |
topic |
AdS-CFT Correspondence Classical Theories of Gravity Models of Quantum Gravity |
url |
http://link.springer.com/article/10.1007/JHEP03(2019)062 |
work_keys_str_mv |
AT elenacaceres complexityactionofsubregionswithcorners AT mingleixiao complexityactionofsubregionswithcorners |
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1725010828550209536 |