Gauge theories on quantum spaces
High Energy Physics - Theory
2023-03-28 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We review the present status of gauge theories built on various quantum space-times described by noncommutative space-times. The mathematical tools and notions underlying their construction are given. Different formulations of gauge theory models on Moyal spaces as well as on quantum spaces whose coordinates form a Lie algebra are covered, with particular emphasis on some explored quantum properties. Recent attempts aiming to include gravity dynamics within a noncommutative framework are also considered.
Cite
@article{arxiv.2210.11890,
title = {Gauge theories on quantum spaces},
author = {Kilian Hersent and Philippe Mathieu and Jean-Christophe Wallet},
journal= {arXiv preprint arXiv:2210.11890},
year = {2023}
}
Comments
141 pages. Review article. This is a preliminary version