Gauge Theories on Fuzzy Spaces and Gravity

2019/11/11 by Г. Манолакос, Manolakos, G., P. Manousselis +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.1911.04483

openalex publication_date 2019/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We start by briefly reviewing the description of gravity theories as gauge theories in four dimensions. More specifically we recall the procedure leading to the results of General Relativity and Weyl Gravity in a gauge-theoretic manner. Then, after a brief reminder of the formulation of gauge theories on noncommutative spaces, we review our recent work, where gravity is constructed as a gauge theory on the fuzzy dS₄.

Citations

• 2 + 1 dimensional gravity as an exactly soluble system
• Non-commutativity in Unified Theories and Gravity
• Modeling Position and Momentum in Finite-Dimensional Hilbert Spaces via Generalized Pauli Operators

Related

• Fuzzy Gravity: Four-Dimensional Gravity on a Covariant Noncommutative Space and Unification with Internal Interactions
• Noncommutative Gauge Theories and Gravity
• Non-commutativity in Unified Theories and Gravity
• Gravity on Fuzzy Space-Time
• Fuzzy Spacetime: Further Considerations