All zeros of (super)String Theory

In this paper, we study the zeros of string theory utilizing its curve-integral representation. Firstly, we note that for bosonic strings the tachyon amplitude in curve-representation is identical to the kinematic shifted Trϕ³ amplitude. Scaffolding is then equivalent to taking the OPE limit of vertex operators on the string world-sheet, which yields amplitude of higher excitations. Using this picture, we derive that the n-point level-N scattering amplitude shares the same set of zeros as the n-point tachyon amplitude as well as those inherited from it's prescaffold image, i.e. (2N)n-point. Doing the same for the super-tachyon amplitude, exposes new zeros for the open super-string, which can be viewed as the avatar of supersymmetry. Finally we also consider the gluino amplitude at four and six-points, identifying its zero and recovering super-Yang-Mills via scaffolding. Finally we consider the field theory limit of colored fermion amplitudes from the curve-integral form.