Inverse of the string theory KLT kernel
Abstract The field theory Kawai-Lewellen-Tye (KLT) kernel, which relates scattering amplitudes of gravitons and gluons, turns out to be the inverse of a matrix whose components are bi-adjoint scalar partial amplitudes. In this note we propose an analogous construction for the string theory KLT kerne...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP06(2017)084 |
| _version_ | 1819261236815069184 |
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| author | Sebastian Mizera |
| author_facet | Sebastian Mizera |
| author_sort | Sebastian Mizera |
| collection | DOAJ |
| description | Abstract The field theory Kawai-Lewellen-Tye (KLT) kernel, which relates scattering amplitudes of gravitons and gluons, turns out to be the inverse of a matrix whose components are bi-adjoint scalar partial amplitudes. In this note we propose an analogous construction for the string theory KLT kernel. We present simple diagrammatic rules for the computation of the α′-corrected bi-adjoint scalar amplitudes that are exact in α′. We find compact expressions in terms of graphs, where the standard Feynman propagators 1/p 2 are replaced by either 1/sin(πα′p 2 /2) or 1/tan(πα′p 2 /2), as determined by a recursive procedure. We demonstrate how the same object can be used to conveniently expand open string partial amplitudes in a BCJ basis. |
| first_indexed | 2024-12-23T19:38:36Z |
| format | Article |
| id | doaj.art-1753c1bbfea04bbca1e416eb11c10dfe |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-23T19:38:36Z |
| publishDate | 2017-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-1753c1bbfea04bbca1e416eb11c10dfe2022-12-21T17:33:43ZengSpringerOpenJournal of High Energy Physics1029-84792017-06-012017612410.1007/JHEP06(2017)084Inverse of the string theory KLT kernelSebastian Mizera0Perimeter Institute for Theoretical PhysicsAbstract The field theory Kawai-Lewellen-Tye (KLT) kernel, which relates scattering amplitudes of gravitons and gluons, turns out to be the inverse of a matrix whose components are bi-adjoint scalar partial amplitudes. In this note we propose an analogous construction for the string theory KLT kernel. We present simple diagrammatic rules for the computation of the α′-corrected bi-adjoint scalar amplitudes that are exact in α′. We find compact expressions in terms of graphs, where the standard Feynman propagators 1/p 2 are replaced by either 1/sin(πα′p 2 /2) or 1/tan(πα′p 2 /2), as determined by a recursive procedure. We demonstrate how the same object can be used to conveniently expand open string partial amplitudes in a BCJ basis.http://link.springer.com/article/10.1007/JHEP06(2017)084Scattering AmplitudesBosonic StringsSuperstrings and Heterotic Strings |
| spellingShingle | Sebastian Mizera Inverse of the string theory KLT kernel Journal of High Energy Physics Scattering Amplitudes Bosonic Strings Superstrings and Heterotic Strings |
| title | Inverse of the string theory KLT kernel |
| title_full | Inverse of the string theory KLT kernel |
| title_fullStr | Inverse of the string theory KLT kernel |
| title_full_unstemmed | Inverse of the string theory KLT kernel |
| title_short | Inverse of the string theory KLT kernel |
| title_sort | inverse of the string theory klt kernel |
| topic | Scattering Amplitudes Bosonic Strings Superstrings and Heterotic Strings |
| url | http://link.springer.com/article/10.1007/JHEP06(2017)084 |
| work_keys_str_mv | AT sebastianmizera inverseofthestringtheorykltkernel |