Bulk locality and asymptotic causal diamonds
In AdS/CFT, the non-uniqueness of the reconstructed bulk from boundary subregions has motivated the notion of code subspaces. We present some closely related structures that arise in flat space. A useful organizing idea is that of an $asymptotic$ causal diamond (ACD): a causal diamond attached to...
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| Format: | Article |
| Language: | English |
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SciPost
2019-10-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.7.4.057 |
| _version_ | 1818308887016636416 |
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| author | Chethan Krishnan |
| author_facet | Chethan Krishnan |
| author_sort | Chethan Krishnan |
| collection | DOAJ |
| description | In AdS/CFT, the non-uniqueness of the reconstructed bulk from boundary
subregions has motivated the notion of code subspaces. We present some closely
related structures that arise in flat space. A useful organizing idea is that
of an $asymptotic$ causal diamond (ACD): a causal diamond attached to the
conformal boundary of Minkowski space. The space of ACDs is defined by pairs of
points, one each on the future and past null boundaries, ${\cal I}^{\pm}$. We
observe that for flat space with an IR cut-off, this space (a) encodes a
preferred class of boundary subregions, (b) is a plausible way to capture
holographic data for local bulk reconstruction, (c) has a natural
interpretation as the kinematic space for holography, (d) leads to a
holographic entanglement entropy in flat space that matches previous
definitions and satisfies strong sub-additivity, and, (e) has a bulk
union/intersection structure isomorphic to the one that motivated the
introduction of quantum error correction in AdS/CFT. By sliding the cut-off, we
also note one substantive way in which flat space holography differs from that
in AdS. Even though our discussion is centered around flat space (and AdS), we
note that there are notions of ACDs in other spacetimes as well. They could
provide a covariant way to abstractly characterize tensor sub-factors of
Hilbert spaces of holographic theories. |
| first_indexed | 2024-12-13T07:21:24Z |
| format | Article |
| id | doaj.art-902ed2a645b749e0b6c5019ceb575079 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-12-13T07:21:24Z |
| publishDate | 2019-10-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-902ed2a645b749e0b6c5019ceb5750792022-12-21T23:55:25ZengSciPostSciPost Physics2542-46532019-10-017405710.21468/SciPostPhys.7.4.057Bulk locality and asymptotic causal diamondsChethan KrishnanIn AdS/CFT, the non-uniqueness of the reconstructed bulk from boundary subregions has motivated the notion of code subspaces. We present some closely related structures that arise in flat space. A useful organizing idea is that of an $asymptotic$ causal diamond (ACD): a causal diamond attached to the conformal boundary of Minkowski space. The space of ACDs is defined by pairs of points, one each on the future and past null boundaries, ${\cal I}^{\pm}$. We observe that for flat space with an IR cut-off, this space (a) encodes a preferred class of boundary subregions, (b) is a plausible way to capture holographic data for local bulk reconstruction, (c) has a natural interpretation as the kinematic space for holography, (d) leads to a holographic entanglement entropy in flat space that matches previous definitions and satisfies strong sub-additivity, and, (e) has a bulk union/intersection structure isomorphic to the one that motivated the introduction of quantum error correction in AdS/CFT. By sliding the cut-off, we also note one substantive way in which flat space holography differs from that in AdS. Even though our discussion is centered around flat space (and AdS), we note that there are notions of ACDs in other spacetimes as well. They could provide a covariant way to abstractly characterize tensor sub-factors of Hilbert spaces of holographic theories.https://scipost.org/SciPostPhys.7.4.057 |
| spellingShingle | Chethan Krishnan Bulk locality and asymptotic causal diamonds SciPost Physics |
| title | Bulk locality and asymptotic causal diamonds |
| title_full | Bulk locality and asymptotic causal diamonds |
| title_fullStr | Bulk locality and asymptotic causal diamonds |
| title_full_unstemmed | Bulk locality and asymptotic causal diamonds |
| title_short | Bulk locality and asymptotic causal diamonds |
| title_sort | bulk locality and asymptotic causal diamonds |
| url | https://scipost.org/SciPostPhys.7.4.057 |
| work_keys_str_mv | AT chethankrishnan bulklocalityandasymptoticcausaldiamonds |