实射影平面上的泛额外维数
Universal Extra Dimensions on Real Projective Plane
摘要：
我们提出了一个在实射影平面$RP^2$上紧致化的六维通用额外维数（UED）模型，该平面是一个确定了对跖点的双球面。我们利用Randjbar-Daemi-Salam-Strathdee自发球紧化与一个额外的$U(1)_X$规范场，导致一个自发的半径稳定的一个额外的配置。与球体和所谓的$S^2/Z_2$紧化不同，无质量的$U(1)_X$规范玻色子被安全地投射出来。我们展示了如何在不可定向流形上的紧化的手征四维规范理论的结果，利用6D手征规范和汤川相互作用。所得的Kaluza-Klein质谱不同于在环面上紧化的普通UED模型。我们简要地评论异常取消，并在我们的模型中的一个可能的暗物质候选人。
英文摘要：
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.
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