Spin polarization independence of hard polarized fermion string scattering amplitudes

Abstract

We calculate a class of polarized fermion string scattering amplitudes (PFSSA) at arbitrary mass levels. We discover that, in the hard scattering limit, the functional forms of the non-vanishing PFSSA at each fixed mass level are independent of the choices of spin polarizations. This result justifies and extends Gross conjecture on high energy string scattering amplitudes to the fermionic sector. In addition, this peculiar property of hard PFSSA is to be compared with the usual spin polarization dependence of the hard polarized fermion field theory scatterings.

arXiv comment15 pages, no figure

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• New bosonic hard string scattering amplitudes and extended Gross conjecture in superstring theory
• The $SL(K+3,\mathbb{C})$ symmetry of string scatterings from D-branes