Triple product amplitude from chiral string

A bstract 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 sect...

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Published in:The journal of high energy physics Vol. 2024; no. 12; pp. 112 - 30
Main Author: Wang, Yu-Ping
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 17.12.2024
Springer Nature B.V
SpringerOpen
Subjects:
Amplitudes
Bosonic Strings
Classical and Quantum Gravitation
Conformal Field Models in String Theory
Defects
Elementary Particles
Field theory
Gravitons
High energy physics
Models of Quantum Gravity
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering Amplitudes
String Theory
Strings
Conformal Field Models in String Theory
Scattering Amplitudes
Models of Quantum Gravity
Bosonic Strings
ISSN:1029-8479, 1029-8479
Online Access:Get full text
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Summary:A bstract 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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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2024)112