Lightlike contours with fermions

TL;DR

This paper explores high energy open superstring scattering, showing that amplitudes are dominated by minimal supersurfaces bounded by lightlike supercontours, and introduces a method to compute these areas directly from the contours.

Contribution

It introduces a generalized functional approach to extract minimal supersurface areas from lightlike supercontours, connecting to RNS amplitudes and potential Wilson loop dualities.

Findings

Amplitudes are dominated by minimal supersurfaces in high energy regime.

A method to compute minimal supersurface areas directly from lightlike supercontours.

Exponent of the area reproduces known superstring amplitudes.

Abstract

We consider high energy scattering of open superstrings in flat spacetime. It is shown that in this regime amplitudes are dominated by minimal supersurfaces spanned by lightlike supercontours built of the on-shell momenta. We demonstrate how using a generalization of the functional over reparametrizations of the boundary one can extract the area of the minimal supersurfaces directly from the lightlike contour. Exponent of the area correctly reproduces RNS amplitudes. We also comment on possible implementation of the supercontours to Wilson loops/Scattering amplitudes duality.