The SL(K+3,C) symmetry of the bosonic string scattering amplitudes

Sheng Hong Lai, Jen-Chi Lee, Yi Yang*

*Corresponding author for this work

Research output: Contribution to journalArticle

Abstract

We discover that the exact string scattering amplitudes (SSA) of three tachyons and one arbitrary string state, or the Lauricella SSA (LSSA), in the 26D open bosonic string theory can be expressed in terms of the basis functions in the infinite dimensional representation space of the SL(K+3,C) group. In addition, we find that the K+2 recurrence relations among the LSSA discovered by the present authors previously can be used to reproduce the Cartan subalgebra and simple root system of the SL(K+3,C) group with rank K+2. As a result, the SL(K+3,C) group can be used to solve all the LSSA and express them in terms of one amplitude. As an application in the hard scattering limit, the SL(K+3,C) group can be used to directly prove Gross conjecture [1–3], which was previously corrected and proved by the method of decoupling of zero norm states [4–10].

Original languageEnglish
Pages (from-to)53-71
Number of pages19
JournalNuclear Physics B
Volume941
DOIs
StatePublished - Apr 2019

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