Residues of bosonic string scattering amplitudes and the Lauricella functions
We calculate explicitly residues of all n-point Koba-Nielsen (KN) amplitudes by using on-shell recursion relation of string scattering amplitudes (SSA). In addition, we show that the residues of all SSA including the KN amplitudes can be expressed in terms of the Lauricella functions. This result de...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-06-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321323001438 |
| _version_ | 1827944379325612032 |
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| author | Sheng-Hong Lai Jen-Chi Lee Yi Yang |
| author_facet | Sheng-Hong Lai Jen-Chi Lee Yi Yang |
| author_sort | Sheng-Hong Lai |
| collection | DOAJ |
| description | We calculate explicitly residues of all n-point Koba-Nielsen (KN) amplitudes by using on-shell recursion relation of string scattering amplitudes (SSA). In addition, we show that the residues of all SSA including the KN amplitudes can be expressed in terms of the Lauricella functions. This result demonstrates the exact SL(K+3,C) symmetry of the tree-level open bosonic string theory. Moreover, we derive an iteration relation among the residues of a given SSA. This iteration relation is related to the SL(K+3,C) symmetry and can presumably be used to soften the well-known hard SSA. |
| first_indexed | 2024-03-13T10:29:26Z |
| format | Article |
| id | doaj.art-e49e8a4b2a8b47e8936bd7c5c47d1e71 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-03-13T10:29:26Z |
| publishDate | 2023-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-e49e8a4b2a8b47e8936bd7c5c47d1e712023-05-19T04:44:55ZengElsevierNuclear Physics B0550-32132023-06-01991116214Residues of bosonic string scattering amplitudes and the Lauricella functionsSheng-Hong Lai0Jen-Chi Lee1Yi Yang2Department of Electrophysics, National Yang Ming Chiao Tung University, Hsinchu, Taiwan, ROCDepartment of Electrophysics, National Yang Ming Chiao Tung University, Hsinchu, Taiwan, ROCCorresponding author.; Department of Electrophysics, National Yang Ming Chiao Tung University, Hsinchu, Taiwan, ROCWe calculate explicitly residues of all n-point Koba-Nielsen (KN) amplitudes by using on-shell recursion relation of string scattering amplitudes (SSA). In addition, we show that the residues of all SSA including the KN amplitudes can be expressed in terms of the Lauricella functions. This result demonstrates the exact SL(K+3,C) symmetry of the tree-level open bosonic string theory. Moreover, we derive an iteration relation among the residues of a given SSA. This iteration relation is related to the SL(K+3,C) symmetry and can presumably be used to soften the well-known hard SSA.http://www.sciencedirect.com/science/article/pii/S0550321323001438 |
| spellingShingle | Sheng-Hong Lai Jen-Chi Lee Yi Yang Residues of bosonic string scattering amplitudes and the Lauricella functions Nuclear Physics B |
| title | Residues of bosonic string scattering amplitudes and the Lauricella functions |
| title_full | Residues of bosonic string scattering amplitudes and the Lauricella functions |
| title_fullStr | Residues of bosonic string scattering amplitudes and the Lauricella functions |
| title_full_unstemmed | Residues of bosonic string scattering amplitudes and the Lauricella functions |
| title_short | Residues of bosonic string scattering amplitudes and the Lauricella functions |
| title_sort | residues of bosonic string scattering amplitudes and the lauricella functions |
| url | http://www.sciencedirect.com/science/article/pii/S0550321323001438 |
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