Towards non-Archimedean superstrings
An action for a prospect of a p-adic open superstring on a target Minkowski space is proposed. The action is constructed for ‘worldsheet’ fields taking values in the p-adic field Qp, but it is assumed to be obtained from a discrete action on the Bruhat-Tits tree. This action is proven to have an ana...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-11-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321322002929 |
| _version_ | 1828732213911355392 |
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| author | Hugo García-Compeán Edgar Y. López |
| author_facet | Hugo García-Compeán Edgar Y. López |
| author_sort | Hugo García-Compeán |
| collection | DOAJ |
| description | An action for a prospect of a p-adic open superstring on a target Minkowski space is proposed. The action is constructed for ‘worldsheet’ fields taking values in the p-adic field Qp, but it is assumed to be obtained from a discrete action on the Bruhat-Tits tree. This action is proven to have an analogue of worldsheet supersymmetry and the superspace action is also constructed in terms of superfields. The action does not have conformal symmetry, however it is implemented in the definition of the amplitudes. The tree-level amplitudes for this theory are obtained for N vertex operators corresponding to tachyon superfields and a Koba-Nielsen formula is obtained. Finally, four-point amplitudes are computed explicitly and they are compared to previous work on p-adic superstring amplitudes. |
| first_indexed | 2024-04-12T17:57:36Z |
| format | Article |
| id | doaj.art-bd0c08baed4f419c8bdae4fe2c2cb77e |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-04-12T17:57:36Z |
| publishDate | 2022-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-bd0c08baed4f419c8bdae4fe2c2cb77e2022-12-22T03:22:16ZengElsevierNuclear Physics B0550-32132022-11-01984115941Towards non-Archimedean superstringsHugo García-Compeán0Edgar Y. López1Corresponding author.; Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, P.O. Box 14-740, CP. 07000, Ciudad de México, MexicoDepartamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, P.O. Box 14-740, CP. 07000, Ciudad de México, MexicoAn action for a prospect of a p-adic open superstring on a target Minkowski space is proposed. The action is constructed for ‘worldsheet’ fields taking values in the p-adic field Qp, but it is assumed to be obtained from a discrete action on the Bruhat-Tits tree. This action is proven to have an analogue of worldsheet supersymmetry and the superspace action is also constructed in terms of superfields. The action does not have conformal symmetry, however it is implemented in the definition of the amplitudes. The tree-level amplitudes for this theory are obtained for N vertex operators corresponding to tachyon superfields and a Koba-Nielsen formula is obtained. Finally, four-point amplitudes are computed explicitly and they are compared to previous work on p-adic superstring amplitudes.http://www.sciencedirect.com/science/article/pii/S0550321322002929 |
| spellingShingle | Hugo García-Compeán Edgar Y. López Towards non-Archimedean superstrings Nuclear Physics B |
| title | Towards non-Archimedean superstrings |
| title_full | Towards non-Archimedean superstrings |
| title_fullStr | Towards non-Archimedean superstrings |
| title_full_unstemmed | Towards non-Archimedean superstrings |
| title_short | Towards non-Archimedean superstrings |
| title_sort | towards non archimedean superstrings |
| url | http://www.sciencedirect.com/science/article/pii/S0550321322002929 |
| work_keys_str_mv | AT hugogarciacompean towardsnonarchimedeansuperstrings AT edgarylopez towardsnonarchimedeansuperstrings |