Dirac gaugino from grand gauge-Higgs unification

TL;DR

This paper demonstrates how Dirac gaugino models can be embedded into grand gauge-Higgs unification theories, providing a novel extra-dimensional framework that naturally generates Dirac gaugino masses through Chern-Simons-like terms.

Contribution

It introduces a new embedding of Dirac gaugino models into gGHU, showing how to generate Dirac gaugino masses via Chern-Simons-like terms in an orbifold setup.

Findings

Embedding of Dirac gauginos into gGHU models.

Derivation of Dirac gaugino masses from Chern-Simons-like terms.

Concrete fermion content setup and coefficient calculation.

Abstract

We show that models of the Dirac gaugino can naturally be embedded into a kind of the grand unified theory (GUT), the grand gauge-Higgs unification (gGHU) model, with the gauge group SU(5)\times SU(5)/Z_2 on an S^1/Z_2 orbifold. The supersymmetric gGHU is known to posess a light chiral adjoint supermultiplet after the GUT breaking, thank to the exchange symmetry of two SU(5) groups. Identifying the `predicted' adjoint fermion with the Dirac partner of the gaugino, we argue that the supersoft term, responsible for the Dirac gaugino mass, can be obtained from the supersymmetric Chern-Simons (CS) like term in the gGHU setup. Although the latter term does not respect the exchange symmetry, we propose a novel way to introduce its breaking effect within a consistent orbifold construction. We also give a concrete setup of fermion field contents (bulk and boundary-localized fermions) that induce the requisite CS-like term, and calculate its coefficient from the bulk profile of chiral fermion zero modes. Our gGHU setup may be regarded as an extra-dimensional realization of the Goldstone gaugino scenario that was proposed before as a solution to the problem of the adjoint scalar masses.