Correlation functions in the $${\text{TsT}}/T\overline{T }$$ correspondence
Abstract We investigate the proposed holographic duality between the TsT transformation of IIB string theory on AdS3 × $$\mathcal{N}$$ with NS-NS flux and a single-trace $$T\overline{T }$$ deformation of the symmetric orbifold CFT. We present a non-perturbative calculation of two-point correlation f...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2024)017 |
| _version_ | 1797220067981656064 |
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| author | Wei Cui Hongfei Shu Wei Song Juntao Wang |
| author_facet | Wei Cui Hongfei Shu Wei Song Juntao Wang |
| author_sort | Wei Cui |
| collection | DOAJ |
| description | Abstract We investigate the proposed holographic duality between the TsT transformation of IIB string theory on AdS3 × $$\mathcal{N}$$ with NS-NS flux and a single-trace $$T\overline{T }$$ deformation of the symmetric orbifold CFT. We present a non-perturbative calculation of two-point correlation functions using string theory and demonstrate their consistency with those of the $$T\overline{T }$$ deformation. The two-point correlation function of the deformed theory on the plane, written in momentum space, is obtained from that of the undeformed theory by replacing h with $$h+2\frac{\widetilde{\lambda }}{w}p\overline{p }$$ , where h is the spacetime conformal weight, $$\widetilde{\lambda }$$ is a deformation parameter, p and $$\overline{p }$$ are the momenta, and w labels the twisted sectors in the deformed symmetric product. At w = 1, the non-perturbative result satisfies the Callan-Symanzik equation for double-trace $$T\overline{T }$$ deformed CFT derived in [1]. We also perform conformal perturbations on both the worldsheet CFT and the symmetric orbifold CFT as a sanity check. The perturbative and non-perturbative matching between results on the two sides provides further evidence of the conjectured $${\text{TsT}}/T\overline{T }$$ correspondence. |
| first_indexed | 2024-04-24T12:43:39Z |
| format | Article |
| id | doaj.art-6eea53ec75a24972beca0d4427acfdb8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T12:43:39Z |
| publishDate | 2024-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-6eea53ec75a24972beca0d4427acfdb82024-04-07T11:06:21ZengSpringerOpenJournal of High Energy Physics1029-84792024-04-012024412810.1007/JHEP04(2024)017Correlation functions in the $${\text{TsT}}/T\overline{T }$$ correspondenceWei Cui0Hongfei Shu1Wei Song2Juntao Wang3Yanqi Lake Beijing Institute of Mathematical Sciences and Applications (BIMSA)Yanqi Lake Beijing Institute of Mathematical Sciences and Applications (BIMSA)Yau Mathematical Sciences Center, Tsinghua UniversityYanqi Lake Beijing Institute of Mathematical Sciences and Applications (BIMSA)Abstract We investigate the proposed holographic duality between the TsT transformation of IIB string theory on AdS3 × $$\mathcal{N}$$ with NS-NS flux and a single-trace $$T\overline{T }$$ deformation of the symmetric orbifold CFT. We present a non-perturbative calculation of two-point correlation functions using string theory and demonstrate their consistency with those of the $$T\overline{T }$$ deformation. The two-point correlation function of the deformed theory on the plane, written in momentum space, is obtained from that of the undeformed theory by replacing h with $$h+2\frac{\widetilde{\lambda }}{w}p\overline{p }$$ , where h is the spacetime conformal weight, $$\widetilde{\lambda }$$ is a deformation parameter, p and $$\overline{p }$$ are the momenta, and w labels the twisted sectors in the deformed symmetric product. At w = 1, the non-perturbative result satisfies the Callan-Symanzik equation for double-trace $$T\overline{T }$$ deformed CFT derived in [1]. We also perform conformal perturbations on both the worldsheet CFT and the symmetric orbifold CFT as a sanity check. The perturbative and non-perturbative matching between results on the two sides provides further evidence of the conjectured $${\text{TsT}}/T\overline{T }$$ correspondence.https://doi.org/10.1007/JHEP04(2024)017AdS-CFT CorrespondenceBosonic StringsLong Strings |
| spellingShingle | Wei Cui Hongfei Shu Wei Song Juntao Wang Correlation functions in the $${\text{TsT}}/T\overline{T }$$ correspondence Journal of High Energy Physics AdS-CFT Correspondence Bosonic Strings Long Strings |
| title | Correlation functions in the $${\text{TsT}}/T\overline{T }$$ correspondence |
| title_full | Correlation functions in the $${\text{TsT}}/T\overline{T }$$ correspondence |
| title_fullStr | Correlation functions in the $${\text{TsT}}/T\overline{T }$$ correspondence |
| title_full_unstemmed | Correlation functions in the $${\text{TsT}}/T\overline{T }$$ correspondence |
| title_short | Correlation functions in the $${\text{TsT}}/T\overline{T }$$ correspondence |
| title_sort | correlation functions in the text tst t overline t correspondence |
| topic | AdS-CFT Correspondence Bosonic Strings Long Strings |
| url | https://doi.org/10.1007/JHEP04(2024)017 |
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