Universal Extra Dimensions on Real Projective Plane

TL;DR

This paper introduces a novel six-dimensional Universal Extra Dimensions model compactified on a real projective plane, resulting in a chiral 4D gauge theory with unique Kaluza-Klein spectra and potential dark matter candidates.

Contribution

It presents the first UED model on a non-orientable manifold, the real projective plane, with spontaneous radius stabilization and a chiral 4D gauge theory.

Findings

Distinct Kaluza-Klein mass spectra from traditional models

Projection of massless U(1)_X gauge boson

Potential dark matter candidate identified

Abstract

We propose a six dimensional Universal Extra Dimensions (UED) model compactified on a real projective plane $RP^2$, a two-sphere with its antipodal points being identified. We utilize the Randjbar-Daemi-Salam-Strathdee spontaneous sphere compactification with a monopole configuration of an extra $U(1)_X$ gauge field that leads to a spontaneous radius stabilization. Unlike the sphere and the so-called $S^2/Z_2$ compactifications, the massless $U(1)_X$ gauge boson is safely projected out. We show how a compactification on a non-orientable manifold results in a chiral four dimensional gauge theory by utilizing 6D chiral gauge and Yukawa interactions. The resultant Kaluza-Klein mass spectra are distinct from the ordinary UED models compactified on torus. We briefly comment on the anomaly cancellation and also on a possible dark matter candidate in our model.