# The Lauricella functions and exact string scattering amplitudes

@article{Lai2016TheLF,
title={The Lauricella functions and exact string scattering amplitudes},
author={Sheng-Hong Lai and Jen-Chi Lee and Yi Yang},
journal={Journal of High Energy Physics},
year={2016},
volume={2016},
pages={1-17}
}
• Published 20 September 2016
• Mathematics
• Journal of High Energy Physics
A bstractWe discover that the 26D open bosonic string scattering amplitudes (SSA) of three tachyons and one arbitrary string state can be expressed in terms of the D-type Lauricella functions with associated SLK+3,ℂ$$\mathrm{S}\mathrm{L}\left(K+3,\mathbb{C}\right)$$ symmetry. As a result, SSA and symmetries or relations among SSA of different string states at various limits calculated previously can be rederived. These include the linear relations first conjectured by Gross [1-5] and later…
• Mathematics
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• 2021
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