Couplings in Pseudo-Supersymmetry

TL;DR

This paper develops a formalism for coupling supersymmetric and non-supersymmetric sectors via non-linear supersymmetry transformations, with applications to D-brane effective field theories and intersecting brane models.

Contribution

It introduces a method to couple N=1 and N=2 supersymmetric matter with non-linear realizations, enabling consistent interactions in complex brane systems.

Findings

Consistent coupling of N=1 matter to non-supersymmetric matter.

Extension of formalism to couple N=2 vector to N=1 chiral fields.

Application to intersecting brane models with partial supersymmetry breaking.

Abstract

We analyze theories in which a supersymmetric sector is coupled to a supersymmetry-breaking sector described by a non-linear realization. We show how to consistently couple N=1 supersymmetric matter to non-supersymmetric matter in such a way that all interactions are invariant under non-linear supersymmetry transformations. We extend this formalism to couple N=2 supersymmetric matter to N=1 superfields that lack N=2 partners but transform in a non-linear representation of the N=2 algebra. In particular, we show how to couple an N=2 vector to N=1 chiral fields in a consistent way. This has important applications to effective field theories describing the interactions of D-brane world-volume fields with bulk fields. We apply our method to study systems where different sectors break different halves of supersymmetry, which appear naturally in models of intersecting branes.