Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions

Abstract

We first review the Coset Space Dimensional Reduction (CSDR) programme and present the best model constructed so far based on the $\mathcal{N}=1$, $10$-dimensional $E_8$ gauge theory reduced over the nearly-Kähler manifold $SU(3)/U(1)\times U(1)$ with the additional use of the Wilson flux mechanism. Then we present the corresponding programme in the case that the extra dimensions are considered to be fuzzy coset spaces and the best model that has been constructed in this framework too. In both cases the best model appears to be the trinification GUT $SU(3{)}^3$.

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Cited by in corpus (7)

• Four-dimensional Gravity on a Covariant Noncommutative Space
• Lorentzian Fuzzy Spheres
• Intertwining noncommutativity with gravity and particle physics
• Equivariant Fields in an $SU(\mathcal{N})$ Gauge Theory with new Spontaneously Generated Fuzzy Extra Dimensions
• Noncommutative Gauge Theories and Gravity
• A $U(3)$ Gauge Theory on Fuzzy Extra Dimensions
• Non-commutativity in Unified Theories and Gravity