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arXiv · 2108.06326

The exact SL(K+3,C) symmetry of string theory

Sheng-Hong Lai·Jen-Chi Lee·Yi Yang
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Abstract

By using on-shell recursion relation of string scattering amplitudes (SSA), we show that all n-point SSA of the open bosonic string theory can be expressed in terms of the Lauricella functions. This result extends the previous exact SL(K+3,C) symmetry of the 4-point Lauricella SSA (LSSA) of three tachyons and one arbitrary string states to the whole tree-level open bosonic string theory. Moreover, we present three applications of the SL(K+3,C) symmetry on the SSA. They are the solvability of all SSA in terms of one amplitude, the existence of iteration relations among residues of a given SSA so as to soften its hard scattering behavior and finally the re-derivation of infinite linear relations among hard SSA [12].

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Sheng-Hong Lai, Jen-Chi Lee, Yi Yang. 2022-06-25. The exact SL(K+3,C) symmetry of string theory. https://doi.org/10.1016/j.physletb.2022.137257

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