Effective Lagrangians in Pseudo-Supersymmetry

TL;DR

This paper develops effective field theories for brane-world models with partial supersymmetry breaking, focusing on coupling N=2 matter to N=1 superfields with non-linear supersymmetry realization, relevant for intersecting brane models.

Contribution

It introduces a consistent method to couple N=2 supersymmetric matter to N=1 superfields with non-linear supersymmetry, enabling analysis of systems with partial supersymmetry breaking in brane-world scenarios.

Findings

Coupling N=2 vector to N=1 chiral fields with non-linear supersymmetry.

Framework for systems with different sectors breaking different halves of supersymmetry.

Application to intersecting brane models.

Abstract

I discuss effective field theories of brane-world models where different sectors break different halves of the extended bulk supersymmetry. It is shown how to consistently 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, I explain how to couple an N=2 vector to N=1 chiral fields such that the second supersymmetry is non-linearly realized. This method is then used to study systems where different sectors break different halves of supersymmetry, which appear naturally in models of intersecting branes.