A spin on the bulk locality of Slightly Broken Higher Spin theories
Abstract In this paper, we investigate if it is possible to express correlation functions in Large N Chern-Simons (CS) matter theories/ Slightly Broken Higher Spin (SBHS) theories purely in terms of single trace twist conformal blocks (TCBs). For this, we first develop the machinery for spinning TCB...
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)048 |
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| author | Sachin Jain K. S. Dhruva |
| author_facet | Sachin Jain K. S. Dhruva |
| author_sort | Sachin Jain |
| collection | DOAJ |
| description | Abstract In this paper, we investigate if it is possible to express correlation functions in Large N Chern-Simons (CS) matter theories/ Slightly Broken Higher Spin (SBHS) theories purely in terms of single trace twist conformal blocks (TCBs). For this, we first develop the machinery for spinning TCBs. We do this both by explicitly solving the spinning TCB eigenvalue equation taking into account consistency with the operator product expansion (OPE) and crossing symmetry, and also by employing weight shifting and spin raising operators and acting with them on scalar seeds. Using these results we show that spinning correlators in theories with exact higher spin symmetry can be entirely expressed in terms of single trace TCBs. However, when the higher spin symmetry is slightly broken at large-N, even though the scalar four-point function is given by single-trace TCBs, the spinning correlators in general, are not. Our results suggest that it may be possible to identify a sub-sector of SBHS theory which has a local bulk dual. |
| format | Article |
| id | doaj-art-c09b88caafcb49e8b35cfca2a7adbf7c |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-c09b88caafcb49e8b35cfca2a7adbf7c2025-08-20T01:57:11ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241216310.1007/JHEP12(2024)048A spin on the bulk locality of Slightly Broken Higher Spin theoriesSachin Jain0K. S. Dhruva1Indian Institute of Science Education and ResearchIndian Institute of Science Education and ResearchAbstract In this paper, we investigate if it is possible to express correlation functions in Large N Chern-Simons (CS) matter theories/ Slightly Broken Higher Spin (SBHS) theories purely in terms of single trace twist conformal blocks (TCBs). For this, we first develop the machinery for spinning TCBs. We do this both by explicitly solving the spinning TCB eigenvalue equation taking into account consistency with the operator product expansion (OPE) and crossing symmetry, and also by employing weight shifting and spin raising operators and acting with them on scalar seeds. Using these results we show that spinning correlators in theories with exact higher spin symmetry can be entirely expressed in terms of single trace TCBs. However, when the higher spin symmetry is slightly broken at large-N, even though the scalar four-point function is given by single-trace TCBs, the spinning correlators in general, are not. Our results suggest that it may be possible to identify a sub-sector of SBHS theory which has a local bulk dual.https://doi.org/10.1007/JHEP12(2024)048Scale and Conformal SymmetriesChern-Simons TheoriesHigher Spin Symmetry |
| spellingShingle | Sachin Jain K. S. Dhruva A spin on the bulk locality of Slightly Broken Higher Spin theories Journal of High Energy Physics Scale and Conformal Symmetries Chern-Simons Theories Higher Spin Symmetry |
| title | A spin on the bulk locality of Slightly Broken Higher Spin theories |
| title_full | A spin on the bulk locality of Slightly Broken Higher Spin theories |
| title_fullStr | A spin on the bulk locality of Slightly Broken Higher Spin theories |
| title_full_unstemmed | A spin on the bulk locality of Slightly Broken Higher Spin theories |
| title_short | A spin on the bulk locality of Slightly Broken Higher Spin theories |
| title_sort | spin on the bulk locality of slightly broken higher spin theories |
| topic | Scale and Conformal Symmetries Chern-Simons Theories Higher Spin Symmetry |
| url | https://doi.org/10.1007/JHEP12(2024)048 |
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