Correlators of long strings on AdS3×S3×T4
Abstract In this work, we calculate correlators of long strings on AdS3×S3×T4 with pure NS-NS flux. We first construct physical vertex operators that correspond to long strings. Due to the GSO projection, they depend on the parity of the spectral flow parameter w. For a given w, we construct the phy...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)017 |
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| author | Zhe-fei Yu Cheng Peng |
| author_facet | Zhe-fei Yu Cheng Peng |
| author_sort | Zhe-fei Yu |
| collection | DOAJ |
| description | Abstract In this work, we calculate correlators of long strings on AdS3×S3×T4 with pure NS-NS flux. We first construct physical vertex operators that correspond to long strings. Due to the GSO projection, they depend on the parity of the spectral flow parameter w. For a given w, we construct the physical operators that have the lowest space-time weights in both the NS and R sector. Then, we calculate three point correlators for each possible type of parities of spectral flows. We find that the recursion relations of correlators in the bosonic SL(2, ℝ) WZW model can be understood from the equivalence of these superstring correlators with different picture choices. Furthermore, after carefully mapping the vertex operators to appropriate operators in the dual CFT, we find that once the fermionic contributions together with the picture changing effects are correctly taken into account, some mathematical identities of covering maps lead to the matching of the correlators of the two sides. We check this explicitly at the leading order in the conformal perturbation computation and conjecture that this remains correct to all orders. |
| format | Article |
| id | doaj-art-3993c496b85a4d198ecbfdda8f0ef826 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-3993c496b85a4d198ecbfdda8f0ef8262025-01-19T12:07:34ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025115610.1007/JHEP01(2025)017Correlators of long strings on AdS3×S3×T4Zhe-fei Yu0Cheng Peng1Kavli Institute for Theoretical Sciences (KITS), University of Chinese Academy of SciencesKavli Institute for Theoretical Sciences (KITS), University of Chinese Academy of SciencesAbstract In this work, we calculate correlators of long strings on AdS3×S3×T4 with pure NS-NS flux. We first construct physical vertex operators that correspond to long strings. Due to the GSO projection, they depend on the parity of the spectral flow parameter w. For a given w, we construct the physical operators that have the lowest space-time weights in both the NS and R sector. Then, we calculate three point correlators for each possible type of parities of spectral flows. We find that the recursion relations of correlators in the bosonic SL(2, ℝ) WZW model can be understood from the equivalence of these superstring correlators with different picture choices. Furthermore, after carefully mapping the vertex operators to appropriate operators in the dual CFT, we find that once the fermionic contributions together with the picture changing effects are correctly taken into account, some mathematical identities of covering maps lead to the matching of the correlators of the two sides. We check this explicitly at the leading order in the conformal perturbation computation and conjecture that this remains correct to all orders.https://doi.org/10.1007/JHEP01(2025)017AdS-CFT CorrespondenceConformal Field Models in String TheoryLong StringsConformal and W Symmetry |
| spellingShingle | Zhe-fei Yu Cheng Peng Correlators of long strings on AdS3×S3×T4 Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Models in String Theory Long Strings Conformal and W Symmetry |
| title | Correlators of long strings on AdS3×S3×T4 |
| title_full | Correlators of long strings on AdS3×S3×T4 |
| title_fullStr | Correlators of long strings on AdS3×S3×T4 |
| title_full_unstemmed | Correlators of long strings on AdS3×S3×T4 |
| title_short | Correlators of long strings on AdS3×S3×T4 |
| title_sort | correlators of long strings on ads3 s3 t4 |
| topic | AdS-CFT Correspondence Conformal Field Models in String Theory Long Strings Conformal and W Symmetry |
| url | https://doi.org/10.1007/JHEP01(2025)017 |
| work_keys_str_mv | AT zhefeiyu correlatorsoflongstringsonads3s3t4 AT chengpeng correlatorsoflongstringsonads3s3t4 |