Elliptic deformations of the AdS3 × S3 × T4 string
Abstract With the aim of investigating the existence of an integrable elliptic deformation of strings on AdS3 × S3 × T4, we compute the tree-level worldsheet S-matrix of the elliptically-deformed bosonic sigma model on AdS3 × S3 in uniform light-cone gauge. The resulting tree-level S-matrix is compa...
| 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)042 |
| _version_ | 1797209575404863488 |
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| author | Ben Hoare Ana L. Retore Fiona K. Seibold |
| author_facet | Ben Hoare Ana L. Retore Fiona K. Seibold |
| author_sort | Ben Hoare |
| collection | DOAJ |
| description | Abstract With the aim of investigating the existence of an integrable elliptic deformation of strings on AdS3 × S3 × T4, we compute the tree-level worldsheet S-matrix of the elliptically-deformed bosonic sigma model on AdS3 × S3 in uniform light-cone gauge. The resulting tree-level S-matrix is compatible with the integrability of the model and has interesting features, including a hidden U(1) symmetry not manifest in the Lagrangian. We find that it cannot be embedded in the known exact integrable R-matrices describing deformations of the undeformed AdS3 × S3 × T4 light-cone gauge S-matrix including fermions. Therefore, we construct embeddings of the deformed 6-d metric in type II supergravity with constant dilaton and homogeneous fluxes. The simplicity of these solutions suggests they are promising candidates to lead to an integrable string sigma model including fermions. |
| first_indexed | 2024-04-24T09:56:53Z |
| format | Article |
| id | doaj.art-9ed79d9a7434448abed7c7aa0a891435 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T09:56:53Z |
| publishDate | 2024-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-9ed79d9a7434448abed7c7aa0a8914352024-04-14T11:06:14ZengSpringerOpenJournal of High Energy Physics1029-84792024-04-012024413310.1007/JHEP04(2024)042Elliptic deformations of the AdS3 × S3 × T4 stringBen Hoare0Ana L. Retore1Fiona K. Seibold2Department of Mathematical Sciences, Durham UniversityDepartment of Mathematical Sciences, Durham UniversityBlackett Laboratory, Imperial CollegeAbstract With the aim of investigating the existence of an integrable elliptic deformation of strings on AdS3 × S3 × T4, we compute the tree-level worldsheet S-matrix of the elliptically-deformed bosonic sigma model on AdS3 × S3 in uniform light-cone gauge. The resulting tree-level S-matrix is compatible with the integrability of the model and has interesting features, including a hidden U(1) symmetry not manifest in the Lagrangian. We find that it cannot be embedded in the known exact integrable R-matrices describing deformations of the undeformed AdS3 × S3 × T4 light-cone gauge S-matrix including fermions. Therefore, we construct embeddings of the deformed 6-d metric in type II supergravity with constant dilaton and homogeneous fluxes. The simplicity of these solutions suggests they are promising candidates to lead to an integrable string sigma model including fermions.https://doi.org/10.1007/JHEP04(2024)042Bosonic StringsIntegrable Field TheoriesSigma ModelsSuperstring Vacua |
| spellingShingle | Ben Hoare Ana L. Retore Fiona K. Seibold Elliptic deformations of the AdS3 × S3 × T4 string Journal of High Energy Physics Bosonic Strings Integrable Field Theories Sigma Models Superstring Vacua |
| title | Elliptic deformations of the AdS3 × S3 × T4 string |
| title_full | Elliptic deformations of the AdS3 × S3 × T4 string |
| title_fullStr | Elliptic deformations of the AdS3 × S3 × T4 string |
| title_full_unstemmed | Elliptic deformations of the AdS3 × S3 × T4 string |
| title_short | Elliptic deformations of the AdS3 × S3 × T4 string |
| title_sort | elliptic deformations of the ads3 s3 t4 string |
| topic | Bosonic Strings Integrable Field Theories Sigma Models Superstring Vacua |
| url | https://doi.org/10.1007/JHEP04(2024)042 |
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