TY - JOUR

T1 - The exact SL(K+3,C) symmetry of string theory

AU - Lai, Sheng Hong

AU - Lee, Jen Chi

AU - Yang, Yi

N1 - Publisher Copyright:
© 2022 The Author(s)

PY - 2022/9/10

Y1 - 2022/9/10

N2 - 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 n-point SSA in terms of four-tachyon amplitudes, 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].

AB - 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 n-point SSA in terms of four-tachyon amplitudes, 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].

UR - http://www.scopus.com/inward/record.url?scp=85133596711&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2022.137257

DO - 10.1016/j.physletb.2022.137257

M3 - Article

AN - SCOPUS:85133596711

SN - 0370-2693

VL - 832

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

M1 - 137257

ER -