WdW-patches in and complexity change under conformal transformations II

2019
journal article
article
25
cris.lastimport.wos2024-04-10T02:47:04Z
dc.abstract.enWe study the null-boundaries of Wheeler-de Witt (WdW) patches in three dimensional Poincaré-AdS, when the selected boundary timeslice is an arbitrary (non-constant) function, presenting some useful analytic statements about them. Special attention will be given to the piecewise smooth nature of the null-boundaries, due to the emergence of caustics and null-null joint curves. This is then applied, in the spirit of one of our previous papers, to the problem of how the complexity of the CFT2 groundstate changes under a small local conformal transformation according to the action (CA) proposal. In stark contrast to the volume (CV) proposal, where this change is only proportional to the second order in the infinitesimal expansion parameter $\sigma$, we show that in the CA case we obtain terms of order $\sigma$ and even $\sigma log(\sigma )$. This has strong implications for the possible field-theory duals of the CA proposal, ruling out an entire class of them.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.contributor.authorFlory, Mario - 377475 pl
dc.date.accessioned2019-11-04T12:14:26Z
dc.date.available2019-11-04T12:14:26Z
dc.date.issued2019pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number5pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume2019pl
dc.identifier.articleid86pl
dc.identifier.doi10.1007/JHEP05(2019)086pl
dc.identifier.eissn1029-8479pl
dc.identifier.issn1126-6708pl
dc.identifier.projectROD UJ / OPpl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/86359
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeotwarte czasopismo
dc.subject.enAdS-CFT correspondencepl
dc.subject.engauge-gravity correspondencepl
dc.subtypeArticlepl
dc.titleWdW-patches in $AdS_{3}$ and complexity change under conformal transformations IIpl
dc.title.journalThe Journal of High Energy Physicspl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-10T02:47:04Z
dc.abstract.enpl
We study the null-boundaries of Wheeler-de Witt (WdW) patches in three dimensional Poincaré-AdS, when the selected boundary timeslice is an arbitrary (non-constant) function, presenting some useful analytic statements about them. Special attention will be given to the piecewise smooth nature of the null-boundaries, due to the emergence of caustics and null-null joint curves. This is then applied, in the spirit of one of our previous papers, to the problem of how the complexity of the CFT2 groundstate changes under a small local conformal transformation according to the action (CA) proposal. In stark contrast to the volume (CV) proposal, where this change is only proportional to the second order in the infinitesimal expansion parameter $\sigma$, we show that in the CA case we obtain terms of order $\sigma$ and even $\sigma log(\sigma )$. This has strong implications for the possible field-theory duals of the CA proposal, ruling out an entire class of them.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
dc.contributor.authorpl
Flory, Mario - 377475
dc.date.accessioned
2019-11-04T12:14:26Z
dc.date.available
2019-11-04T12:14:26Z
dc.date.issuedpl
2019
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
5
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
2019
dc.identifier.articleidpl
86
dc.identifier.doipl
10.1007/JHEP05(2019)086
dc.identifier.eissnpl
1029-8479
dc.identifier.issnpl
1126-6708
dc.identifier.projectpl
ROD UJ / OP
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/86359
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
otwarte czasopismo
dc.subject.enpl
AdS-CFT correspondence
dc.subject.enpl
gauge-gravity correspondence
dc.subtypepl
Article
dc.titlepl
WdW-patches in $AdS_{3}$ and complexity change under conformal transformations II
dc.title.journalpl
The Journal of High Energy Physics
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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