D-term Dynamical Supersymmetry Breaking Generating Split N=2 Gaugino Masses of Mixed Majorana-Dirac Type

TL;DR

This paper demonstrates spontaneous N=1 supersymmetry breaking in a gauge theory with N=2 structure, leading to mixed Majorana-Dirac gaugino masses, using a self-consistent Hartree-Fock approximation.

Contribution

It provides a novel mechanism for dynamical supersymmetry breaking with explicit derivation of the gap equation in a gauge theory with N=2 supersymmetry.

Findings

Existence of a nontrivial solution to the gap equation.

Generation of split Majorana-Dirac gaugino masses.

Spontaneous breaking of N=2 to N=1 supersymmetry.

Abstract

Under a few mild assumptions, N=1 supersymmetry in four dimensions is shown to be spontaneously broken in a self-consistent Hartree-Fock approximation of BCS/NJL type to one-loop off-shell, in the gauge theory specified by the gauge kinetic function and the superpotential of adjoint chiral superfields, in particular, that possesses N=2 extended supersymmetry spontaneously broken to N=1 at tree level. The N=2 gauginos receive mixed Majorana-Dirac masses and are split. We derive an explicit form of the gap equation, showing the existence of a nontrivial solution.