Triple product amplitude from chiral string

Abstract In this paper, we proposed a worldsheet construction of a subset of triple product amplitudes proposed by Huang and Remmen (2022). We start with closed bosonic strings but left and right-moving momenta are not necessarily equal. Instead, they satisfy certain conditions. We called them secti...

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Main Author: Yu-Ping Wang
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP12(2024)112
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author Yu-Ping Wang
author_facet Yu-Ping Wang
author_sort Yu-Ping Wang
collection DOAJ
description Abstract In this paper, we proposed a worldsheet construction of a subset of triple product amplitudes proposed by Huang and Remmen (2022). We start with closed bosonic strings but left and right-moving momenta are not necessarily equal. Instead, they satisfy certain conditions. We called them section conditions. These conditions are generalizations of the section condition in double field theory. The vertex operators of chiral strings have nontrivial monodromy, so we interpret them as attached to the end of defects. In the calculation of the amplitude, we not only have to integrate over the moduli space, we also have to sum over different defect configurations. Unitarity and other consistency conditions for chiral string amplitudes are checked. We found the graviton amplitude, the Virasoro amplitude, and also a special kind of amplitude that has one infinite spin tower. Similar kinds of amplitude have appeared in bootstrap literature. The more general N-point amplitude could be obtained from a modified KLT relation. The five-point chiral string amplitude is also explicitly calculated.
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spelling doaj-art-fabf1535fd064122aae64a933a2b5e622025-01-05T12:06:01ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241213010.1007/JHEP12(2024)112Triple product amplitude from chiral stringYu-Ping Wang0Department of Physics, SUNY Stony Brook UniversityAbstract In this paper, we proposed a worldsheet construction of a subset of triple product amplitudes proposed by Huang and Remmen (2022). We start with closed bosonic strings but left and right-moving momenta are not necessarily equal. Instead, they satisfy certain conditions. We called them section conditions. These conditions are generalizations of the section condition in double field theory. The vertex operators of chiral strings have nontrivial monodromy, so we interpret them as attached to the end of defects. In the calculation of the amplitude, we not only have to integrate over the moduli space, we also have to sum over different defect configurations. Unitarity and other consistency conditions for chiral string amplitudes are checked. We found the graviton amplitude, the Virasoro amplitude, and also a special kind of amplitude that has one infinite spin tower. Similar kinds of amplitude have appeared in bootstrap literature. The more general N-point amplitude could be obtained from a modified KLT relation. The five-point chiral string amplitude is also explicitly calculated.https://doi.org/10.1007/JHEP12(2024)112Bosonic StringsConformal Field Models in String TheoryScattering AmplitudesModels of Quantum Gravity
spellingShingle Yu-Ping Wang
Triple product amplitude from chiral string
Journal of High Energy Physics
Bosonic Strings
Conformal Field Models in String Theory
Scattering Amplitudes
Models of Quantum Gravity
title Triple product amplitude from chiral string
title_full Triple product amplitude from chiral string
title_fullStr Triple product amplitude from chiral string
title_full_unstemmed Triple product amplitude from chiral string
title_short Triple product amplitude from chiral string
title_sort triple product amplitude from chiral string
topic Bosonic Strings
Conformal Field Models in String Theory
Scattering Amplitudes
Models of Quantum Gravity
url https://doi.org/10.1007/JHEP12(2024)112
work_keys_str_mv AT yupingwang tripleproductamplitudefromchiralstring