Abstract
In this note, it is shown that closed string graviton scattering amplitudes obey the same subleading soft limit as field theory graviton scattering amplitudes. The result is derived using a combination of recent results and methods including the subleading soft expansion for type I open string gluon disk scattering amplitudes, the single value projection for multiple ζ values, and the KLT relations in field and string theory.
Highlights
In this note, it is shown that closed string graviton scattering amplitudes obey the same subleading soft limit as field theory graviton scattering amplitudes
JHEP03(2015)140 subleading soft graviton factors as well as the soft gluon factors are universal and the soft graviton factor is protected from quantum corrections
Consists of the semidirect product of the Abelian group T of “supertranslations” and the group SL(2, C) of non-singular transformations of the two sphere at infinity
Summary
In [37] it was shown that the open string disk amplitudes behave just like the field theory amplitudes in the limit of a single momentum becoming soft. Employing the notation of [39] the first piece is a vector A of colour ordered Yang Mills scattering amplitudes. The entries of this vector are denoted by Aσ = A(1, σ2,N−2, N − 1, N ) where σ ∈ SN−3 is a permutation of particles 2 to N − 2 σ : Note that the Yang Mills soft factor for colour ordered amplitudes always depends on the particles adjacent to the soft particle and only on these
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