PoS - Proceedings of Science
Volume 318 - Corfu Summer Institute 2017 "Schools and Workshops on Elementary Particle Physics and Gravity" (CORFU2017) - Training School “Quantum Spacetime and Physics Models”
Gravity as a Gauge Theory on Three-Dimensional Noncommutative spaces
G. Manolakos*, D. Jurman, P. Manousselis and G. Zoupanos
Full text: pdf
Pre-published on: August 22, 2018
Published on: August 24, 2018
We plan to translate the successful description of three-dimensional gravity as a gauge theory in the noncommutative framework, making use of the covariant coordinates. We consider two specific three-dimensional fuzzy spaces based on SU(2) and SU(1,1), which carry appropriate symmetry groups. These are the groups we are going to gauge in order to result with the transformations of the gauge fields (dreibein, spin connection and two extra Maxwell fields due to noncommutativity), their corresponding curvatures and eventually determine the action and the equations of motion. Finally, we verify their connection to three-dimensional gravity.
DOI: https://doi.org/10.22323/1.318.0162
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