• DOI:10.1007/JHEP11(2016)062
• Corpus ID: 119219820

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}
}

• Sheng-Hong Lai, Jen-Chi Lee, Yi Yang
• 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 corrected and proved in [6-12] in the hard scattering limit, the recurrence relations in the Regge scattering limit with associated SL5ℂ$$ \mathrm{S}\mathrm{L}\left(5,\mathbb{C}\right) $$ symmetry [24-26] and the extended recurrence relations in the nonrelativistic scattering limit with associated SL4ℂ$$ \mathrm{S}\mathrm{L}\left(4,\mathbb{C}\right) $$ symmetry [29] discovered recently. Finally, as an application, we calculate a new recurrence relation of SSA which is valid for all energies.