Holographic reconstruction of flat spacetime
Abstract The flat/CFT dictionary between the bulk gravitational theory and boundary conformal field theory is systematically developed in this paper. Asymptotically flat spacetime is built up by asymptotically AdS hyperboloid slices in terms of Fefferman Graham coordinates together with soft modes p...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-09-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2024)060 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850137082507296768 |
|---|---|
| author | Zezhuang Hao |
| author_facet | Zezhuang Hao |
| author_sort | Zezhuang Hao |
| collection | DOAJ |
| description | Abstract The flat/CFT dictionary between the bulk gravitational theory and boundary conformal field theory is systematically developed in this paper. Asymptotically flat spacetime is built up by asymptotically AdS hyperboloid slices in terms of Fefferman Graham coordinates together with soft modes propagating between different slices near the null boundary. Then we construct the flat holography dictionary based on studying the Einstein equation at zero and first order and it turns out that these correspond to the description of hard and soft sector for the field theory from the boundary point of view. The explicit expression for energy-stress tensor is also determined by performing holographic renormalisation on the Einstein Hilbert action. By studying the anomalies of the energy-stress tensor, we obtain the leading and subleading contribution to the central charge. Einstein equations in the bulk are related to the Ward identities of the boundary theory and we find that the boundary CFT energy-stress tensor is not conserved due to the existence of radiative soft modes which will generate the energy flow through the null boundary. |
| format | Article |
| id | doaj-art-b10ba7b75a7e45c7a5eb3c0ef12930d7 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-b10ba7b75a7e45c7a5eb3c0ef12930d72025-08-20T02:30:58ZengSpringerOpenJournal of High Energy Physics1029-84792024-09-012024912510.1007/JHEP09(2024)060Holographic reconstruction of flat spacetimeZezhuang Hao0School of Mathematical Sciences, University of SouthamptonAbstract The flat/CFT dictionary between the bulk gravitational theory and boundary conformal field theory is systematically developed in this paper. Asymptotically flat spacetime is built up by asymptotically AdS hyperboloid slices in terms of Fefferman Graham coordinates together with soft modes propagating between different slices near the null boundary. Then we construct the flat holography dictionary based on studying the Einstein equation at zero and first order and it turns out that these correspond to the description of hard and soft sector for the field theory from the boundary point of view. The explicit expression for energy-stress tensor is also determined by performing holographic renormalisation on the Einstein Hilbert action. By studying the anomalies of the energy-stress tensor, we obtain the leading and subleading contribution to the central charge. Einstein equations in the bulk are related to the Ward identities of the boundary theory and we find that the boundary CFT energy-stress tensor is not conserved due to the existence of radiative soft modes which will generate the energy flow through the null boundary.https://doi.org/10.1007/JHEP09(2024)060AdS-CFT CorrespondenceRenormalization and RegularizationModels of Quantum Gravity |
| spellingShingle | Zezhuang Hao Holographic reconstruction of flat spacetime Journal of High Energy Physics AdS-CFT Correspondence Renormalization and Regularization Models of Quantum Gravity |
| title | Holographic reconstruction of flat spacetime |
| title_full | Holographic reconstruction of flat spacetime |
| title_fullStr | Holographic reconstruction of flat spacetime |
| title_full_unstemmed | Holographic reconstruction of flat spacetime |
| title_short | Holographic reconstruction of flat spacetime |
| title_sort | holographic reconstruction of flat spacetime |
| topic | AdS-CFT Correspondence Renormalization and Regularization Models of Quantum Gravity |
| url | https://doi.org/10.1007/JHEP09(2024)060 |
| work_keys_str_mv | AT zezhuanghao holographicreconstructionofflatspacetime |