Cluster adjacency properties of scattering amplitudes in N=4 supersymmetric Yang-Mills theory
We conjecture a new set of analytic relations for scattering amplitudes in planar N=4 super Yang-Mills theory. They generalize the Steinmann relations and are expressed in terms of the cluster algebras associated to Gr(4,n). In terms of the symbol, they dictate which letters can appear consecutively...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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American Physical Society
2018
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| _version_ | 1797073765140529152 |
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| author | Drummond, J Foster, J Gürdoğan, O |
| author_facet | Drummond, J Foster, J Gürdoğan, O |
| author_sort | Drummond, J |
| collection | OXFORD |
| description | We conjecture a new set of analytic relations for scattering amplitudes in planar N=4 super Yang-Mills theory. They generalize the Steinmann relations and are expressed in terms of the cluster algebras associated to Gr(4,n). In terms of the symbol, they dictate which letters can appear consecutively. We study heptagon amplitudes and integrals in detail and present symbols for previously unknown integrals at two and three loops which support our conjecture. |
| first_indexed | 2024-03-06T23:26:43Z |
| format | Journal article |
| id | oxford-uuid:6a9cbe76-b79c-4a52-9fa5-252109609844 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T23:26:43Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:6a9cbe76-b79c-4a52-9fa5-2521096098442022-03-26T18:58:39ZCluster adjacency properties of scattering amplitudes in N=4 supersymmetric Yang-Mills theoryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:6a9cbe76-b79c-4a52-9fa5-252109609844EnglishSymplectic ElementsAmerican Physical Society2018Drummond, JFoster, JGürdoğan, OWe conjecture a new set of analytic relations for scattering amplitudes in planar N=4 super Yang-Mills theory. They generalize the Steinmann relations and are expressed in terms of the cluster algebras associated to Gr(4,n). In terms of the symbol, they dictate which letters can appear consecutively. We study heptagon amplitudes and integrals in detail and present symbols for previously unknown integrals at two and three loops which support our conjecture. |
| spellingShingle | Drummond, J Foster, J Gürdoğan, O Cluster adjacency properties of scattering amplitudes in N=4 supersymmetric Yang-Mills theory |
| title | Cluster adjacency properties of scattering amplitudes in N=4 supersymmetric Yang-Mills theory |
| title_full | Cluster adjacency properties of scattering amplitudes in N=4 supersymmetric Yang-Mills theory |
| title_fullStr | Cluster adjacency properties of scattering amplitudes in N=4 supersymmetric Yang-Mills theory |
| title_full_unstemmed | Cluster adjacency properties of scattering amplitudes in N=4 supersymmetric Yang-Mills theory |
| title_short | Cluster adjacency properties of scattering amplitudes in N=4 supersymmetric Yang-Mills theory |
| title_sort | cluster adjacency properties of scattering amplitudes in n 4 supersymmetric yang mills theory |
| work_keys_str_mv | AT drummondj clusteradjacencypropertiesofscatteringamplitudesinn4supersymmetricyangmillstheory AT fosterj clusteradjacencypropertiesofscatteringamplitudesinn4supersymmetricyangmillstheory AT gurdogano clusteradjacencypropertiesofscatteringamplitudesinn4supersymmetricyangmillstheory |