Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings
Abstract We investigate one-loop four-point scattering of non-abelian gauge bosons in heterotic string theory and identify new connections with the corresponding open-string amplitude. In the low-energy expansion of the heterotic-string amplitude, the integrals over torus punctures are systematicall...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP01(2019)052 |
| _version_ | 1818447347446710272 |
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| author | Jan E. Gerken Axel Kleinschmidt Oliver Schlotterer |
| author_facet | Jan E. Gerken Axel Kleinschmidt Oliver Schlotterer |
| author_sort | Jan E. Gerken |
| collection | DOAJ |
| description | Abstract We investigate one-loop four-point scattering of non-abelian gauge bosons in heterotic string theory and identify new connections with the corresponding open-string amplitude. In the low-energy expansion of the heterotic-string amplitude, the integrals over torus punctures are systematically evaluated in terms of modular graph forms, certain non-holomorphic modular forms. For a specific torus integral, the modular graph forms in the low-energy expansion are related to the elliptic multiple zeta values from the analogous open-string integrations over cylinder boundaries. The detailed correspondence between these modular graph forms and elliptic multiple zeta values supports a recent proposal for an elliptic generalization of the single-valued map at genus zero. |
| first_indexed | 2024-12-14T20:02:10Z |
| format | Article |
| id | doaj.art-cb39dfcf09d44afc821a24c219826ca1 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T20:02:10Z |
| publishDate | 2019-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-cb39dfcf09d44afc821a24c219826ca12022-12-21T22:49:08ZengSpringerOpenJournal of High Energy Physics1029-84792019-01-012019117610.1007/JHEP01(2019)052Heterotic-string amplitudes at one loop: modular graph forms and relations to open stringsJan E. Gerken0Axel Kleinschmidt1Oliver Schlotterer2Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-InstitutMax-Planck-Institut für Gravitationsphysik, Albert-Einstein-InstitutMax-Planck-Institut für Gravitationsphysik, Albert-Einstein-InstitutAbstract We investigate one-loop four-point scattering of non-abelian gauge bosons in heterotic string theory and identify new connections with the corresponding open-string amplitude. In the low-energy expansion of the heterotic-string amplitude, the integrals over torus punctures are systematically evaluated in terms of modular graph forms, certain non-holomorphic modular forms. For a specific torus integral, the modular graph forms in the low-energy expansion are related to the elliptic multiple zeta values from the analogous open-string integrations over cylinder boundaries. The detailed correspondence between these modular graph forms and elliptic multiple zeta values supports a recent proposal for an elliptic generalization of the single-valued map at genus zero.http://link.springer.com/article/10.1007/JHEP01(2019)052Scattering AmplitudesSuperstrings and Heterotic StringsSupergravity Models |
| spellingShingle | Jan E. Gerken Axel Kleinschmidt Oliver Schlotterer Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings Journal of High Energy Physics Scattering Amplitudes Superstrings and Heterotic Strings Supergravity Models |
| title | Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings |
| title_full | Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings |
| title_fullStr | Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings |
| title_full_unstemmed | Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings |
| title_short | Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings |
| title_sort | heterotic string amplitudes at one loop modular graph forms and relations to open strings |
| topic | Scattering Amplitudes Superstrings and Heterotic Strings Supergravity Models |
| url | http://link.springer.com/article/10.1007/JHEP01(2019)052 |
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