Positivity of the Veneziano amplitude in ten dimensions
Abstract The Veneziano amplitude describing the tree-level scattering of four open superstrings is expected to be consistent with unitarity in ten spacetime dimensions. While this follows indirectly from the no-ghost theorem, a direct proof at the level of the amplitude itself only exists for D ≤ 6....
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP07(2025)179 |
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| author | Gareth Mansfield |
| author_facet | Gareth Mansfield |
| author_sort | Gareth Mansfield |
| collection | DOAJ |
| description | Abstract The Veneziano amplitude describing the tree-level scattering of four open superstrings is expected to be consistent with unitarity in ten spacetime dimensions. While this follows indirectly from the no-ghost theorem, a direct proof at the level of the amplitude itself only exists for D ≤ 6. In this note, we close this gap by providing a proof for the partial-wave positivity of the Veneziano amplitude in D ≤ 10, derived directly from its representation as the Euler beta function. We also demonstrate that this proof can be modified to show the positivity of a wider family of amplitudes relevant to the S-matrix bootstrap. |
| format | Article |
| id | doaj-art-cff3e7b93761492b980ecf00eb7e2c62 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-cff3e7b93761492b980ecf00eb7e2c622025-08-20T03:45:40ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025712010.1007/JHEP07(2025)179Positivity of the Veneziano amplitude in ten dimensionsGareth Mansfield0Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, University of CaliforniaAbstract The Veneziano amplitude describing the tree-level scattering of four open superstrings is expected to be consistent with unitarity in ten spacetime dimensions. While this follows indirectly from the no-ghost theorem, a direct proof at the level of the amplitude itself only exists for D ≤ 6. In this note, we close this gap by providing a proof for the partial-wave positivity of the Veneziano amplitude in D ≤ 10, derived directly from its representation as the Euler beta function. We also demonstrate that this proof can be modified to show the positivity of a wider family of amplitudes relevant to the S-matrix bootstrap.https://doi.org/10.1007/JHEP07(2025)179Scattering AmplitudesSuperstrings and Heterotic StringsBosonic Strings |
| spellingShingle | Gareth Mansfield Positivity of the Veneziano amplitude in ten dimensions Journal of High Energy Physics Scattering Amplitudes Superstrings and Heterotic Strings Bosonic Strings |
| title | Positivity of the Veneziano amplitude in ten dimensions |
| title_full | Positivity of the Veneziano amplitude in ten dimensions |
| title_fullStr | Positivity of the Veneziano amplitude in ten dimensions |
| title_full_unstemmed | Positivity of the Veneziano amplitude in ten dimensions |
| title_short | Positivity of the Veneziano amplitude in ten dimensions |
| title_sort | positivity of the veneziano amplitude in ten dimensions |
| topic | Scattering Amplitudes Superstrings and Heterotic Strings Bosonic Strings |
| url | https://doi.org/10.1007/JHEP07(2025)179 |
| work_keys_str_mv | AT garethmansfield positivityofthevenezianoamplitudeintendimensions |