Non-commutativity in Unified Theories and Gravity

Abstract

First, we briefly review the Coset Space Dimensional Reduction scheme and the results of the best model so far. Then, we present the introduction of fuzzy coset spaces used as extra dimensions and perform a dimensional reduction. In turn, we describe a construction which mimics the results of a reduction, starting from a 4-dimensional theory and we present a successful example of a dynamical generation of fuzzy spheres. Finally, we propose a construction of the 3-d gravity as a gauge theory on specific non-commutative spaces.

arXiv admin note: substantial text overlap with arXiv:1602.03673, arXiv:1504.07276

References in corpus (9)

• Conceptual Explanation for the Algebra in the Noncommutative Approach to the Standard Model
• Fermions on spontaneously generated spherical extra dimensions
• Noncommutative field theory on ${\mathbb{R}}_{\lambda }^3$
• Dimensional Reduction of the Heterotic String over nearly-Kaehler manifolds
• The effective action of the heterotic string compactified on manifolds with SU(3) structure
• Equivariant reduction of Yang-Mills theory over the fuzzy sphere and the emergent vortices
• WKB Approximation in Noncommutative Gravity
• Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions
• Reduction of Couplings in Quantum Field Theories with applications in Finite Theories and the MSSM

Cited by in corpus (1)

• Gauge Theories on Fuzzy Spaces and Gravity