Associators for AdS string amplitude building blocks
Abstract We show that building blocks for open- and closed-string amplitudes on AdS are generated by the Drinfeld and Deligne associator, respectively. Our formalism lifts the known associator recursions for flat-space string amplitudes to the AdS picture. This delivers another proof that the AdS bu...
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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)278 |
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| _version_ | 1849767579091992576 |
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| author | Konstantin Baune |
| author_facet | Konstantin Baune |
| author_sort | Konstantin Baune |
| collection | DOAJ |
| description | Abstract We show that building blocks for open- and closed-string amplitudes on AdS are generated by the Drinfeld and Deligne associator, respectively. Our formalism lifts the known associator recursions for flat-space string amplitudes to the AdS picture. This delivers another proof that the AdS building blocks admit low-energy expansions with (single-valued) multiple zeta values as coefficients and provides all-order relations for the integral expressions. |
| format | Article |
| id | doaj-art-a297b9156f914dff9db82debbf04931f |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-a297b9156f914dff9db82debbf04931f2025-08-20T03:04:08ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025712810.1007/JHEP07(2025)278Associators for AdS string amplitude building blocksKonstantin Baune0Institute for Theoretical Physics, ETH ZurichAbstract We show that building blocks for open- and closed-string amplitudes on AdS are generated by the Drinfeld and Deligne associator, respectively. Our formalism lifts the known associator recursions for flat-space string amplitudes to the AdS picture. This delivers another proof that the AdS building blocks admit low-energy expansions with (single-valued) multiple zeta values as coefficients and provides all-order relations for the integral expressions.https://doi.org/10.1007/JHEP07(2025)278Scattering AmplitudesAdS-CFT CorrespondenceDifferential and Algebraic Geometry |
| spellingShingle | Konstantin Baune Associators for AdS string amplitude building blocks Journal of High Energy Physics Scattering Amplitudes AdS-CFT Correspondence Differential and Algebraic Geometry |
| title | Associators for AdS string amplitude building blocks |
| title_full | Associators for AdS string amplitude building blocks |
| title_fullStr | Associators for AdS string amplitude building blocks |
| title_full_unstemmed | Associators for AdS string amplitude building blocks |
| title_short | Associators for AdS string amplitude building blocks |
| title_sort | associators for ads string amplitude building blocks |
| topic | Scattering Amplitudes AdS-CFT Correspondence Differential and Algebraic Geometry |
| url | https://doi.org/10.1007/JHEP07(2025)278 |
| work_keys_str_mv | AT konstantinbaune associatorsforadsstringamplitudebuildingblocks |