dc.identifier.uri |
http://dx.doi.org/10.15488/16310 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/16437 |
|
dc.contributor.author |
Osborne, Tobias J.
|
|
dc.contributor.author |
Stiegemann, Deniz E.
|
|
dc.date.accessioned |
2024-02-15T08:36:32Z |
|
dc.date.available |
2024-02-15T08:36:32Z |
|
dc.date.issued |
2020 |
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dc.identifier.citation |
Osborne, T.J.; Stiegemann, D.E.: Dynamics for holographic codes. In: Journal of High Energy Physics (JHEP), The 2020 (2020), Nr. 4, 154. DOI: https://doi.org/10.1007/jhep04(2020)154 |
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dc.description.abstract |
We describe how to introduce dynamics for the holographic states and codes introduced by Pastawski, Yoshida, Harlow and Preskill. This task requires the definition of a continuous limit of the kinematical Hilbert space which we argue may be achieved via the semicontinuous limit of Jones. Dynamics is then introduced by building a unitary representation of a group known as Thompson’s group T, which is closely related to the conformal group conf (ℝ1,1). The bulk Hilbert space is realised as a special subspace of the semicontinuous limit Hilbert space spanned by a class of distinguished states which can be assigned a discrete bulk geometry. The analogue of the group of large bulk diffeomorphisms is given by a unitary representation of the Ptolemy group Pt , on the bulk Hilbert space thus realising a toy model of the AdS/CFT correspondence which we call the Pt /T correspondence. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Berlin ; Heidelberg : Springer |
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dc.relation.ispartofseries |
Journal of High Energy Physics (JHEP), The 2020 (2020), Nr. 4 |
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dc.rights |
CC BY 4.0 Unported |
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dc.rights.uri |
https://creativecommons.org/licenses/by/4.0 |
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dc.subject |
AdS-CFT Correspondence |
eng |
dc.subject |
Conformal and W Symmetry |
eng |
dc.subject |
Conformal Field Theory |
eng |
dc.subject |
Discrete Symmetries |
eng |
dc.subject.ddc |
530 | Physik
|
|
dc.title |
Dynamics for holographic codes |
eng |
dc.type |
Article |
|
dc.type |
Text |
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dc.relation.essn |
1029-8479 |
|
dc.relation.doi |
https://doi.org/10.1007/jhep04(2020)154 |
|
dc.bibliographicCitation.issue |
4 |
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dc.bibliographicCitation.volume |
2020 |
|
dc.bibliographicCitation.firstPage |
154 |
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dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|