Corners and islands in the S-matrix bootstrap of the open superstring
Abstract We bootstrap the Veneziano superstring amplitude in 10 dimensions from the bottom-up. Starting with the most general maximally supersymmetric Yang-Mills EFT, we input information about the lowest-lying massive states, which we assume contribute via tree-level exchanges to the 4-point amplit...
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SpringerOpen
2024-09-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP09(2024)076 |
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| author | Justin Berman Henriette Elvang |
| author_facet | Justin Berman Henriette Elvang |
| author_sort | Justin Berman |
| collection | DOAJ |
| description | Abstract We bootstrap the Veneziano superstring amplitude in 10 dimensions from the bottom-up. Starting with the most general maximally supersymmetric Yang-Mills EFT, we input information about the lowest-lying massive states, which we assume contribute via tree-level exchanges to the 4-point amplitude. We show the following: (1) if there is only a single state at the lowest mass, it must be a scalar. (2) Assuming a string-inspired gap between the mass of this scalar and any other massive states, the allowed region of Wilson coefficients has a new sharp corner where the Veneziano amplitude is located. (3) Upon fixing the next massive state to be a vector, the EFT bounds have a one-parameter family of corners; these would correspond to models with linear Regge trajectories of varying slopes, one of which is the open superstring. (4) When the ratio between the massive scalar coupling and the trF 4 coefficient is fixed to its string value, the spin and mass of the second massive state is determined by the bootstrap and the Veneziano amplitude is isolated on a small island in parameter space. Finally, we compare with other recent bootstraps approaches, both the pion model and imposing Regge-inspired maximal spin constraints. |
| format | Article |
| id | doaj-art-af93d77ac5554403ad6f1d6e65bf4e0d |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | SpringerOpen |
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| series | Journal of High Energy Physics |
| spelling | doaj-art-af93d77ac5554403ad6f1d6e65bf4e0d2024-12-08T12:16:37ZengSpringerOpenJournal of High Energy Physics1029-84792024-09-012024914610.1007/JHEP09(2024)076Corners and islands in the S-matrix bootstrap of the open superstringJustin Berman0Henriette Elvang1Leinweber Center for Theoretical Physics, Randall Laboratory of Physics, The University of MichiganLeinweber Center for Theoretical Physics, Randall Laboratory of Physics, The University of MichiganAbstract We bootstrap the Veneziano superstring amplitude in 10 dimensions from the bottom-up. Starting with the most general maximally supersymmetric Yang-Mills EFT, we input information about the lowest-lying massive states, which we assume contribute via tree-level exchanges to the 4-point amplitude. We show the following: (1) if there is only a single state at the lowest mass, it must be a scalar. (2) Assuming a string-inspired gap between the mass of this scalar and any other massive states, the allowed region of Wilson coefficients has a new sharp corner where the Veneziano amplitude is located. (3) Upon fixing the next massive state to be a vector, the EFT bounds have a one-parameter family of corners; these would correspond to models with linear Regge trajectories of varying slopes, one of which is the open superstring. (4) When the ratio between the massive scalar coupling and the trF 4 coefficient is fixed to its string value, the spin and mass of the second massive state is determined by the bootstrap and the Veneziano amplitude is isolated on a small island in parameter space. Finally, we compare with other recent bootstraps approaches, both the pion model and imposing Regge-inspired maximal spin constraints.https://doi.org/10.1007/JHEP09(2024)076Effective Field TheoriesScattering AmplitudesSupersymmetric Effective TheoriesSupersymmetric Gauge Theory |
| spellingShingle | Justin Berman Henriette Elvang Corners and islands in the S-matrix bootstrap of the open superstring Journal of High Energy Physics Effective Field Theories Scattering Amplitudes Supersymmetric Effective Theories Supersymmetric Gauge Theory |
| title | Corners and islands in the S-matrix bootstrap of the open superstring |
| title_full | Corners and islands in the S-matrix bootstrap of the open superstring |
| title_fullStr | Corners and islands in the S-matrix bootstrap of the open superstring |
| title_full_unstemmed | Corners and islands in the S-matrix bootstrap of the open superstring |
| title_short | Corners and islands in the S-matrix bootstrap of the open superstring |
| title_sort | corners and islands in the s matrix bootstrap of the open superstring |
| topic | Effective Field Theories Scattering Amplitudes Supersymmetric Effective Theories Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP09(2024)076 |
| work_keys_str_mv | AT justinberman cornersandislandsinthesmatrixbootstrapoftheopensuperstring AT henrietteelvang cornersandislandsinthesmatrixbootstrapoftheopensuperstring |