A note on background independence in AdS3 string theory
Abstract In this note, we comment on the path integral formulation of string theory on M $$ \mathcal{M} $$ × S3 × T 4 $$ {\mathbbm{T}}^4 $$ where M $$ \mathcal{M} $$ is any hyperbolic 3-manifold. In the special case of k = 1 units of NS-NS flux, we provide a covariant description of the worldsheet t...
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| Language: | English |
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2025-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2025)004 |
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| author | Bob Knighton |
| author_facet | Bob Knighton |
| author_sort | Bob Knighton |
| collection | DOAJ |
| description | Abstract In this note, we comment on the path integral formulation of string theory on M $$ \mathcal{M} $$ × S3 × T 4 $$ {\mathbbm{T}}^4 $$ where M $$ \mathcal{M} $$ is any hyperbolic 3-manifold. In the special case of k = 1 units of NS-NS flux, we provide a covariant description of the worldsheet theory and argue that the path integral depends only on the details of the conformal boundary ∂ M $$ \partial \mathcal{M} $$ , making the background independence of this theory manifest. We provide a simple path integral argument that the path integral localizes onto holomorphic covering maps from the worldsheet to the boundary. For closed manifolds M $$ \mathcal{M} $$ , the gravitational path integral is argued to be trivial. Finally, we comment on the effect of continuous deformations of the worldsheet theory which introduce non-minimal string tension. |
| format | Article |
| id | doaj-art-21e7e6b564c94de6a08241f5040afc60 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-21e7e6b564c94de6a08241f5040afc602025-02-09T12:08:54ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025211710.1007/JHEP02(2025)004A note on background independence in AdS3 string theoryBob Knighton0Department of Applied Mathematics & Theoretical Physics, University of CambridgeAbstract In this note, we comment on the path integral formulation of string theory on M $$ \mathcal{M} $$ × S3 × T 4 $$ {\mathbbm{T}}^4 $$ where M $$ \mathcal{M} $$ is any hyperbolic 3-manifold. In the special case of k = 1 units of NS-NS flux, we provide a covariant description of the worldsheet theory and argue that the path integral depends only on the details of the conformal boundary ∂ M $$ \partial \mathcal{M} $$ , making the background independence of this theory manifest. We provide a simple path integral argument that the path integral localizes onto holomorphic covering maps from the worldsheet to the boundary. For closed manifolds M $$ \mathcal{M} $$ , the gravitational path integral is argued to be trivial. Finally, we comment on the effect of continuous deformations of the worldsheet theory which introduce non-minimal string tension.https://doi.org/10.1007/JHEP02(2025)004AdS-CFT CorrespondenceConformal Field Models in String Theory |
| spellingShingle | Bob Knighton A note on background independence in AdS3 string theory Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Models in String Theory |
| title | A note on background independence in AdS3 string theory |
| title_full | A note on background independence in AdS3 string theory |
| title_fullStr | A note on background independence in AdS3 string theory |
| title_full_unstemmed | A note on background independence in AdS3 string theory |
| title_short | A note on background independence in AdS3 string theory |
| title_sort | note on background independence in ads3 string theory |
| topic | AdS-CFT Correspondence Conformal Field Models in String Theory |
| url | https://doi.org/10.1007/JHEP02(2025)004 |
| work_keys_str_mv | AT bobknighton anoteonbackgroundindependenceinads3stringtheory AT bobknighton noteonbackgroundindependenceinads3stringtheory |