Effective Lagrangians for the string model of Bluhm, Dolan, and Goddard. II. The fermionic sector.

Abstract

We have studied all the massless three-point and massless four-point tree amplitudes of the Bluhm-Dolan-Goddard string model, now including the fermions. In our study, we have decomposed the ten-dimensional spinors into four families of four-dimensional Majorana spinors. With these four-dimensional spinors, we are able to write the effective Lagrangians, inferred from the low-energy limit of the string amplitudes, in terms of four-dimensional fermionic fields. In this four-dimensional form, the Lagrangians contain terms that will describe conventional supergravity within the same family. There will also be interfamily interactions mediated by the neutral vectors and gauge scalars.