Tree-level superstring amplitudes: the Neveu-Schwarz sector
Abstract We present a complete computation of superstring scattering amplitudes at tree level, for the case of Neveu-Schwarz insertions. Mathematically, this is to say that we determine explicitly the superstring measure on the moduli space M 0 , n , 0 $$ {\mathcal{M}}_{0,n,0} $$ of super Riemann su...
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| Format: | Article |
| Language: | English |
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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)008 |
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| author | Sergio L. Cacciatori Samuel Grushevsky Alexander A. Voronov |
| author_facet | Sergio L. Cacciatori Samuel Grushevsky Alexander A. Voronov |
| author_sort | Sergio L. Cacciatori |
| collection | DOAJ |
| description | Abstract We present a complete computation of superstring scattering amplitudes at tree level, for the case of Neveu-Schwarz insertions. Mathematically, this is to say that we determine explicitly the superstring measure on the moduli space M 0 , n , 0 $$ {\mathcal{M}}_{0,n,0} $$ of super Riemann surfaces of genus zero with n ≥ 3 Neveu-Schwarz punctures. While, of course, an expression for the measure was previously known, we do this from first principles, using the canonically defined super Mumford isomorphism [1]. We thus determine the scattering amplitudes, explicitly in the global coordinates on M 0 , n , 0 $$ {\mathcal{M}}_{0,n,0} $$ , without the need for picture changing operators or ghosts, and are also able to determine canonically the value of the coupling constant. Our computation should be viewed as a step towards performing similar analysis on M 0 , 0 , n $$ {\mathcal{M}}_{0,0,n} $$ , to derive explicit tree-level scattering amplitudes with Ramond insertions. |
| format | Article |
| id | doaj-art-011a71e69f004425abe7e3cec2d3fb26 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-011a71e69f004425abe7e3cec2d3fb262025-08-20T02:30:58ZengSpringerOpenJournal of High Energy Physics1029-84792024-09-012024913210.1007/JHEP09(2024)008Tree-level superstring amplitudes: the Neveu-Schwarz sectorSergio L. Cacciatori0Samuel Grushevsky1Alexander A. Voronov2Dipartimento di scienza e alta tecnologia, Università dell’InsubriaDepartment of Mathematics and Simons Center for Geometry and Physics, Stony Brook UniversitySchool of Mathematics, University of MinnesotaAbstract We present a complete computation of superstring scattering amplitudes at tree level, for the case of Neveu-Schwarz insertions. Mathematically, this is to say that we determine explicitly the superstring measure on the moduli space M 0 , n , 0 $$ {\mathcal{M}}_{0,n,0} $$ of super Riemann surfaces of genus zero with n ≥ 3 Neveu-Schwarz punctures. While, of course, an expression for the measure was previously known, we do this from first principles, using the canonically defined super Mumford isomorphism [1]. We thus determine the scattering amplitudes, explicitly in the global coordinates on M 0 , n , 0 $$ {\mathcal{M}}_{0,n,0} $$ , without the need for picture changing operators or ghosts, and are also able to determine canonically the value of the coupling constant. Our computation should be viewed as a step towards performing similar analysis on M 0 , 0 , n $$ {\mathcal{M}}_{0,0,n} $$ , to derive explicit tree-level scattering amplitudes with Ramond insertions.https://doi.org/10.1007/JHEP09(2024)008Differential and Algebraic GeometrySuperstrings and Heterotic Strings |
| spellingShingle | Sergio L. Cacciatori Samuel Grushevsky Alexander A. Voronov Tree-level superstring amplitudes: the Neveu-Schwarz sector Journal of High Energy Physics Differential and Algebraic Geometry Superstrings and Heterotic Strings |
| title | Tree-level superstring amplitudes: the Neveu-Schwarz sector |
| title_full | Tree-level superstring amplitudes: the Neveu-Schwarz sector |
| title_fullStr | Tree-level superstring amplitudes: the Neveu-Schwarz sector |
| title_full_unstemmed | Tree-level superstring amplitudes: the Neveu-Schwarz sector |
| title_short | Tree-level superstring amplitudes: the Neveu-Schwarz sector |
| title_sort | tree level superstring amplitudes the neveu schwarz sector |
| topic | Differential and Algebraic Geometry Superstrings and Heterotic Strings |
| url | https://doi.org/10.1007/JHEP09(2024)008 |
| work_keys_str_mv | AT sergiolcacciatori treelevelsuperstringamplitudestheneveuschwarzsector AT samuelgrushevsky treelevelsuperstringamplitudestheneveuschwarzsector AT alexanderavoronov treelevelsuperstringamplitudestheneveuschwarzsector |