Towards the n-point one-loop superstring amplitude. Part III. One-loop correlators and their double-copy structure
Abstract In this final part of a series of three papers, we will assemble supersymmetric expressions for one-loop correlators in pure-spinor superspace that are BRST invariant, local, and single valued. A key driving force in this construction is the generalization of a so far unnoticed property at...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2019)092 |
| _version_ | 1818267186468225024 |
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| author | Carlos R. Mafra Oliver Schlotterer |
| author_facet | Carlos R. Mafra Oliver Schlotterer |
| author_sort | Carlos R. Mafra |
| collection | DOAJ |
| description | Abstract In this final part of a series of three papers, we will assemble supersymmetric expressions for one-loop correlators in pure-spinor superspace that are BRST invariant, local, and single valued. A key driving force in this construction is the generalization of a so far unnoticed property at tree-level; the correlators have the symmetry structure akin to Lie polynomials. One-loop correlators up to seven points are presented in a variety of representations manifesting different subsets of their defining properties. These expressions are related via identities obeyed by the kinematic superfields and worldsheet functions spelled out in the first two parts of this series and reflecting a duality between the two kinds of ingredients. Interestingly, the expression for the eight-point correlator following from our method seems to capture correctly all the dependence on the worldsheet punctures but leaves undetermined the coefficient of the holomorphic Eisenstein series G4. By virtue of chiral splitting, closed-string correlators follow from the double copy of the open-string results. |
| first_indexed | 2024-12-12T20:18:36Z |
| format | Article |
| id | doaj.art-f0bc57d842334230a3ba81aede80526c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T20:18:36Z |
| publishDate | 2019-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f0bc57d842334230a3ba81aede80526c2022-12-22T00:13:19ZengSpringerOpenJournal of High Energy Physics1029-84792019-08-012019816710.1007/JHEP08(2019)092Towards the n-point one-loop superstring amplitude. Part III. One-loop correlators and their double-copy structureCarlos R. Mafra0Oliver Schlotterer1Mathematical Sciences and STAG Research Centre, University of SouthamptonMax-Planck-Institut für Gravitationsphysik, Albert-Einstein-InstitutAbstract In this final part of a series of three papers, we will assemble supersymmetric expressions for one-loop correlators in pure-spinor superspace that are BRST invariant, local, and single valued. A key driving force in this construction is the generalization of a so far unnoticed property at tree-level; the correlators have the symmetry structure akin to Lie polynomials. One-loop correlators up to seven points are presented in a variety of representations manifesting different subsets of their defining properties. These expressions are related via identities obeyed by the kinematic superfields and worldsheet functions spelled out in the first two parts of this series and reflecting a duality between the two kinds of ingredients. Interestingly, the expression for the eight-point correlator following from our method seems to capture correctly all the dependence on the worldsheet punctures but leaves undetermined the coefficient of the holomorphic Eisenstein series G4. By virtue of chiral splitting, closed-string correlators follow from the double copy of the open-string results.http://link.springer.com/article/10.1007/JHEP08(2019)092Conformal Field TheorySuperstrings and Heterotic Strings |
| spellingShingle | Carlos R. Mafra Oliver Schlotterer Towards the n-point one-loop superstring amplitude. Part III. One-loop correlators and their double-copy structure Journal of High Energy Physics Conformal Field Theory Superstrings and Heterotic Strings |
| title | Towards the n-point one-loop superstring amplitude. Part III. One-loop correlators and their double-copy structure |
| title_full | Towards the n-point one-loop superstring amplitude. Part III. One-loop correlators and their double-copy structure |
| title_fullStr | Towards the n-point one-loop superstring amplitude. Part III. One-loop correlators and their double-copy structure |
| title_full_unstemmed | Towards the n-point one-loop superstring amplitude. Part III. One-loop correlators and their double-copy structure |
| title_short | Towards the n-point one-loop superstring amplitude. Part III. One-loop correlators and their double-copy structure |
| title_sort | towards the n point one loop superstring amplitude part iii one loop correlators and their double copy structure |
| topic | Conformal Field Theory Superstrings and Heterotic Strings |
| url | http://link.springer.com/article/10.1007/JHEP08(2019)092 |
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