Year: 2025
Type: article
Abstract: We reformulate tree-level amplitudes in open superstring theory (type-I) in terms of stringy Tr (\phi^3) ( ϕ 3 ) amplitudes with various kinematical shifts in the “curve-integral” formulation: while the bosonic-string amplitude with n n pairs of “scaffolding” scalars comes from a particularly simple shift of the Tr (\phi^3) ( ϕ 3 ) one (corresponding to n n length- 2 2 cycles), the analogous superstring amplitude requires “correction” terms given by bosonic-string amplitudes with longer, even-length “cycles”, which are also Tr (\phi^3) ( ϕ 3 ) ones at shifted kinematics dictated by the cycles; in total it is expressed as a sum of (2n-3)!! ( 2 n − 3 ) ! ! shifted amplitudes originated from the expansion of a reduced Pfaffian. Upon taking n n scaffolding residues, this leads to a new formula of the n n -gluon superstring amplitude, which is manifestly symmetric in n-1 n − 1 legs, as a gauge-invariant combination of mixed bosonic string amplitudes with gluons and scalars, which come from length- 2 2 cycles and longer ones respectively (the total sum is associated with the expansion a n× n n × n symmetrical determinant); the corresponding prefactors are nested commutators of 2n 2 n -gon kinematical variables, which nicely become traces of field-strengths for those legs corresponding to scalars in the mixed amplitudes. These interesting linear combinations of bosonic string amplitudes must guarantee the cancellation of tachyon poles and F^3 F 3 vertices etc., and they give new relations between the superstring amplitude and its bosonic-string building blocks to all orders in the \alpha' α
Source: SciPost Physics
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Awards: G2012042336, G3287280676, G865548911
OpenAlex ID: W4415621940