Correlation functions of symmetric orbifold from AdS3 string theory
Abstract The paper examines correspondence among correlation functions of symmetric orbifold and string theory on AdS3 described by sl(2) Wess-Zumino-Novikov-Witten (WZNW) model. We start by writing down n-point function of twist operators in the symmetric orbifold in terms of the data of effective...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-09-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP09(2020)157 |
| _version_ | 1818533756189802496 |
|---|---|
| author | Yasuaki Hikida Tianshu Liu |
| author_facet | Yasuaki Hikida Tianshu Liu |
| author_sort | Yasuaki Hikida |
| collection | DOAJ |
| description | Abstract The paper examines correspondence among correlation functions of symmetric orbifold and string theory on AdS3 described by sl(2) Wess-Zumino-Novikov-Witten (WZNW) model. We start by writing down n-point function of twist operators in the symmetric orbifold in terms of the data of effective Riemann surface. It is then shown that the correlation function can be reproduced from the sl(2) WZNW model. The computation is based on the claim that string worldsheet is given by the same Riemann surface and the reduction method from sl(2) WZNW model to Liouville field theory. We first consider the genus zero surface and then generalize the analysis to the case of generic genus. The radius of AdS3 is related to the level k of the WZNW model. For k = 3, our result should be an important ingredient for deriving AdS3/CFT2 correspondence with tensionless superstrings to all orders in string perturbation theory. For generic k, relations involving specific forms of correlation functions for strings on AdS3 × X were obtained. |
| first_indexed | 2024-12-11T18:02:56Z |
| format | Article |
| id | doaj.art-4df6cd128ddb4370a8288f73bc948401 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T18:02:56Z |
| publishDate | 2020-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-4df6cd128ddb4370a8288f73bc9484012022-12-22T00:55:49ZengSpringerOpenJournal of High Energy Physics1029-84792020-09-012020913210.1007/JHEP09(2020)157Correlation functions of symmetric orbifold from AdS3 string theoryYasuaki Hikida0Tianshu Liu1Yukawa Institute for Theoretical Physics, Kyoto UniversityYukawa Institute for Theoretical Physics, Kyoto UniversityAbstract The paper examines correspondence among correlation functions of symmetric orbifold and string theory on AdS3 described by sl(2) Wess-Zumino-Novikov-Witten (WZNW) model. We start by writing down n-point function of twist operators in the symmetric orbifold in terms of the data of effective Riemann surface. It is then shown that the correlation function can be reproduced from the sl(2) WZNW model. The computation is based on the claim that string worldsheet is given by the same Riemann surface and the reduction method from sl(2) WZNW model to Liouville field theory. We first consider the genus zero surface and then generalize the analysis to the case of generic genus. The radius of AdS3 is related to the level k of the WZNW model. For k = 3, our result should be an important ingredient for deriving AdS3/CFT2 correspondence with tensionless superstrings to all orders in string perturbation theory. For generic k, relations involving specific forms of correlation functions for strings on AdS3 × X were obtained.http://link.springer.com/article/10.1007/JHEP09(2020)157AdS-CFT CorrespondenceConformal Field Models in String TheoryCon- formal Field Theory |
| spellingShingle | Yasuaki Hikida Tianshu Liu Correlation functions of symmetric orbifold from AdS3 string theory Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Models in String Theory Con- formal Field Theory |
| title | Correlation functions of symmetric orbifold from AdS3 string theory |
| title_full | Correlation functions of symmetric orbifold from AdS3 string theory |
| title_fullStr | Correlation functions of symmetric orbifold from AdS3 string theory |
| title_full_unstemmed | Correlation functions of symmetric orbifold from AdS3 string theory |
| title_short | Correlation functions of symmetric orbifold from AdS3 string theory |
| title_sort | correlation functions of symmetric orbifold from ads3 string theory |
| topic | AdS-CFT Correspondence Conformal Field Models in String Theory Con- formal Field Theory |
| url | http://link.springer.com/article/10.1007/JHEP09(2020)157 |
| work_keys_str_mv | AT yasuakihikida correlationfunctionsofsymmetricorbifoldfromads3stringtheory AT tianshuliu correlationfunctionsofsymmetricorbifoldfromads3stringtheory |