Total-derivative supersymmetry breaking

TL;DR

This paper develops a supersymmetric action on an interval with brane interactions, enabling consistent boundary conditions and a novel framework for spontaneous supersymmetry breaking without massless R-axions, relevant for phenomenology.

Contribution

It introduces a method to construct supersymmetric actions with boundary conditions that allow spontaneous SUSY breaking without R-axions, using brane interactions to cancel total derivative terms.

Findings

Spontaneous SUSY breaking achieved without massless R-axion.

Zero-modes for fermions, gauge bosons, and fifth-dimensional gauge components.

Consistent boundary conditions derived from variational principle.

Abstract

On an interval compactification in supersymmetric theory, boundary conditions for bulk fields must be treated carefully. If they are taken arbitrarily following the requirement that a theory is supersymmetric, the conditions could give redundant constraints on the theory. We construct a supersymmetric action integral on an interval by introducing brane interactions with which total derivative terms under the supersymmetry transformation become zero due to a cancellation. The variational principle leads equations of motion and also boundary conditions for bulk fields, which determine boundary values of bulk fields. By estimating mass spectrum, {\it spontaneous} supersymmetry breaking in this simple setup can be realized in a new framework. This supersymmetry breaking does not induce massless R-axion, which is favorable for phenomenology. It is worth noting that fermions in hyper-multiplet, gauge bosons, and the fifth-dimensional component of gauge bosons can have zero-modes (while the other components are all massive as Kaluza-Klein modes), which fits the gauge-Higgs unification scenarios.