Intertwining noncommutativity with gravity and particle physics

Abstract

Here we present an overview on the various works, in which many collaborators have contributed, regarding the interesting dipole of noncommutativity and physics. In brief, we present the features that noncommutativity triggers both in the fields of gravity and particle physics, from a matrix-realized perspective, with the notion of noncommutative gauge theories to play the most central role in the whole picture. Also, under the framework of noncommutativity, we examine the possibility of unifying the two fields (gravity-particle physics) in a single configuration.

References in corpus (17)

• Emergent Gravity from Noncommutative Spacetime
• Conceptual Explanation for the Algebra in the Noncommutative Approach to the Standard Model
• Noncommutative D=4 gravity coupled to fermions
• Dynamical generation of fuzzy extra dimensions, dimensional reduction and symmetry breaking
• Fermions on spontaneously generated spherical extra dimensions
• Noncommutative field theory on ${\mathbb{R}}_{\lambda }^3$
• Orbifolds, fuzzy spheres and chiral fermions
• Noncommutative field theories on $R_{\lambda }^3$: Towards UV/IR mixing freedom
• Noncommutative supergravity in D=3 and D=4
• Gravity and the Structure of Noncommutative Algebras
• The Energy-momentum of a Poisson structure
• Reduction of Couplings and its application in Particle Physics
• Field Equations of Massless Fields in the New Interpretation of the Matrix Model
• Noncommutative Chern-Simons gauge and gravity theories and their geometric Seiberg-Witten map
• The Chern-Simons One-form and Gravity on a Fuzzy Space
• Quantized Nambu-Poisson Manifolds in a 3-Lie Algebra Reduced Model
• WKB Approximation in Noncommutative Gravity