Integrable S matrix, mirror TBA and spectrum for the stringy AdS3 × S3 × S3 × S1 WZW model
Abstract We compute the tree-level bosonic S matrix in light-cone gauge for superstrings on pure-NSNS AdS3 × S3 × S3 × S1. We show that it is proportional to the identity and that it takes the same form as for AdS3 × S3 × T4 and for flat space. Based on this, we make a conjecture for the exact world...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP02(2019)072 |
| _version_ | 1824032246907011072 |
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| author | A. Dei A. Sfondrini |
| author_facet | A. Dei A. Sfondrini |
| author_sort | A. Dei |
| collection | DOAJ |
| description | Abstract We compute the tree-level bosonic S matrix in light-cone gauge for superstrings on pure-NSNS AdS3 × S3 × S3 × S1. We show that it is proportional to the identity and that it takes the same form as for AdS3 × S3 × T4 and for flat space. Based on this, we make a conjecture for the exact worldsheet S matrix and derive the mirror thermodynamic Bethe ansatz (TBA) equations describing the spectrum. Despite a non-trivial vacuum energy, they can be solved in closed form and coincide with a simple set of Bethe ansatz equations — again much like AdS3 × S3 × T4 and flat space. This suggests that the model may have an integrable spin-chain interpretation. Finally, as a check of our proposal, we compute the spectrum from the worldsheet CFT in the case of highest-weight representations of the underlying Kač-Moody algebras, and show that the mirror-TBA prediction matches it on the nose. |
| first_indexed | 2024-12-20T09:58:31Z |
| format | Article |
| id | doaj.art-3c267760ecb840f5836ab128e14e8565 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T09:58:31Z |
| publishDate | 2019-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-3c267760ecb840f5836ab128e14e85652022-12-21T19:44:23ZengSpringerOpenJournal of High Energy Physics1029-84792019-02-012019213910.1007/JHEP02(2019)072Integrable S matrix, mirror TBA and spectrum for the stringy AdS3 × S3 × S3 × S1 WZW modelA. Dei0A. Sfondrini1Institut für theoretische Physik, ETH ZürichInstitut für theoretische Physik, ETH ZürichAbstract We compute the tree-level bosonic S matrix in light-cone gauge for superstrings on pure-NSNS AdS3 × S3 × S3 × S1. We show that it is proportional to the identity and that it takes the same form as for AdS3 × S3 × T4 and for flat space. Based on this, we make a conjecture for the exact worldsheet S matrix and derive the mirror thermodynamic Bethe ansatz (TBA) equations describing the spectrum. Despite a non-trivial vacuum energy, they can be solved in closed form and coincide with a simple set of Bethe ansatz equations — again much like AdS3 × S3 × T4 and flat space. This suggests that the model may have an integrable spin-chain interpretation. Finally, as a check of our proposal, we compute the spectrum from the worldsheet CFT in the case of highest-weight representations of the underlying Kač-Moody algebras, and show that the mirror-TBA prediction matches it on the nose.http://link.springer.com/article/10.1007/JHEP02(2019)072AdS-CFT CorrespondenceIntegrable Field TheoriesBethe Ansatz |
| spellingShingle | A. Dei A. Sfondrini Integrable S matrix, mirror TBA and spectrum for the stringy AdS3 × S3 × S3 × S1 WZW model Journal of High Energy Physics AdS-CFT Correspondence Integrable Field Theories Bethe Ansatz |
| title | Integrable S matrix, mirror TBA and spectrum for the stringy AdS3 × S3 × S3 × S1 WZW model |
| title_full | Integrable S matrix, mirror TBA and spectrum for the stringy AdS3 × S3 × S3 × S1 WZW model |
| title_fullStr | Integrable S matrix, mirror TBA and spectrum for the stringy AdS3 × S3 × S3 × S1 WZW model |
| title_full_unstemmed | Integrable S matrix, mirror TBA and spectrum for the stringy AdS3 × S3 × S3 × S1 WZW model |
| title_short | Integrable S matrix, mirror TBA and spectrum for the stringy AdS3 × S3 × S3 × S1 WZW model |
| title_sort | integrable s matrix mirror tba and spectrum for the stringy ads3 s3 s3 s1 wzw model |
| topic | AdS-CFT Correspondence Integrable Field Theories Bethe Ansatz |
| url | http://link.springer.com/article/10.1007/JHEP02(2019)072 |
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