Noncommutative Gauge Theories and Gravity

Abstract

First, we briefly review the description of gravity theories as gauge theories in three and four dimensions. Specifically, we recall the procedure in which the results of General Relativity in three and four dimensions are recovered in a gauge-theoretic approach. Also, the procedure is applied for the case of the Weyl gravity, too. Then, after reminding briefly the formulation of gauge theories on noncommutative spaces, we review our most recent works in which gravity models are constructed as gauge theories on noncommutative spaces.

References in corpus (6)

• Conceptual Explanation for the Algebra in the Noncommutative Approach to the Standard Model
• Fermions on spontaneously generated spherical extra dimensions
• Noncommutative field theory on ${\mathbb{R}}_{\lambda }^3$
• The Energy-momentum of a Poisson structure
• WKB Approximation in Noncommutative Gravity
• The origin of space-time as seen from matrix model simulations