Boundary and bulk notions of transport in the AdS3/CFT2 correspondence
| Authors |
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| Publication date | 05-2023 |
| Journal | Journal of High Energy Physics |
| Article number | 102 |
| Volume | Issue number | 2023 | 5 |
| Number of pages | 30 |
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| Abstract | We construct operators in holographic two-dimensional conformal field theory, which act locally in the code subspace as arbitrary bulk spacelike vector fields. Key to the construction is an interplay between parallel transport in the bulk spacetime and in kinematic space. We outline challenges, which arise when the same construction is extended to timelike vector fields. We also sketch several applications, including boundary formulations of the bulk Riemann tensor, dreibein, and spin connection, as well as an application to holographic complexity. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1007/JHEP05(2023)102 |
| Downloads |
JHEP05(2023)102
(Final published version)
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