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

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].

13 pages, no figure. arXiv admin note: text overlap with arXiv:2012.14726; v2: Eq.(37) corrected; v3:Refs 24,25 added; v4: 18 pages, many equations added, two figures added, Refs added; v5: Refs and two more figures added, accepted by Phys. Lett. B

References in corpus (7)

• The Pomeron and Gauge/String Duality
• On-shell Recursion in String Theory
• Patterns of High energy Massive String Scatterings in the Regge regime
• The Lauricella Functions and Exact String Scattering Amplitudes
• Deformation of the Cubic Open String Field Theory
• Solving Lauricella String Scattering Amplitudes through Recurrence Relations
• Recent developments of the Lauricella string scattering amplitudes and their exact SL(K+3,C) Symmetry

Cited by in corpus (1)

• The $SL(K+3,\mathbb{C})$ symmetry of string scatterings from D-branes