Fermion scattering amplitudes from gauge-invariant actions for open superstring field theory

Abstract

We calculate on-shell scattering amplitudes involving fermions at the tree level in open superstring field theory. We confirm that four-point and five-point amplitudes in the world-sheet path integral with the standard prescription using picture-changing operators are reproduced. For the four-point amplitudes, we find that the quartic interaction required by gauge invariance adjusts the different assignment of picture-changing operators in the $s$-channel and in the $t$-channel of Feynman diagrams with two cubic vertices. For the five-point amplitudes, the correct amplitudes are reproduced in a more intricate way via the quartic and quintic interactions. Our calculations can be interpreted as those for a complete action with a constraint on the Ramond sector or as those for the covariant formulation developed by Sen with spurious free fields.

52 pages, 18 figures

References in corpus (3)

• NS-NS Sector of Closed Superstring Field Theory
• $A_{\infty }$ structure from the Berkovits formulation of open superstring field theory
• Gauge Invariant 1PI Effective Action for Superstring Field Theory

Cited by in corpus (2)

• Tree-level S-matrix of superstring field theory with homotopy algebra structure
• Open superstring field theory including the Ramond sector based on the supermoduli space